Circles In Geometry, Basic Introduction - Circumference, Area, Arc Length, Inscribed Angles & Chords

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  • Опубліковано 1 жов 2024
  • This geometry video tutorial provides a basic introduction into circles. It explains how to calculate the area of a circle as well as the circumference of a circle. It also explains how to calculate the arc length of a sector as well as the area of a sector in a circle. it explains the difference between the radius, chord, and diameter of a circle. It mentions how to calculate the inscribed angle as well as the measure of the intercepted arc. It discusses how to calculate the area of the shaded region given a right triangle inscribed in a circle.
    Circles - Area, Circumference, Radius: • Circles - Area, Circum...
    Circles - Chords, Radius, & Diameter:
    • Circles - Chords, Radi...
    Lines, Rays, Line Segments, & Angles:
    • Lines, Rays, Line Segm...
    2 Column Proofs - Cong. Segments:
    • Two Column Proofs of C...
    Triangle Congruence - SSS, SAS, ASA:
    • Triangle Congruence Th...
    Central Angles and Circle Arcs:
    • Central Angles, Circle...
    ___________________________________
    Tangent Lines and Secant Lines:
    • Tangent Lines & Secant...
    Circles - Central and Inscribed Angles:
    • Circles, Angle Measure...
    Tangent Tangent Angle Theorems:
    • Tangent Tangent Angle ...
    Inscribed and Circumscribed Polygons:
    • Inscribed Polygons and...
    Power Theorems - Chords, Secants, & Tangents:
    • Power Theorems - Chord...
    Circle Theorems:
    • Circle Theorems
    _________________________________
    Two Column Proofs With Circles:
    • Two Column Proofs With...
    Circles Review - Geometry:
    • Circles - Geometry
    Incenter, Circumcenter, and Orthocenter:
    • Incenter, Circumcenter...
    Distance Between Point and Line in 2D & 3D:
    • Distance Between a Poi...
    Area of a Triangle With Vertices:
    • Area of a Triangle Wit...
    ________________________________
    Coordinate Geometry:
    • Coordinate Geometry, B...
    Geometry Review - Study Guide:
    • Geometry Introduction ...
    Geometry Final Exam Review:
    • Geometry Final Exam Re...
    Final Exams and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 236

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  8 місяців тому +8

    Final Exams and Video Playlists: www.video-tutor.net/

  • @aishwaryasubramanian5175
    @aishwaryasubramanian5175 4 роки тому +1042

    Hey guys, here's a cool study tip: watch these BEFORE the teacher's lesson. This is because, when you watch this before the lesson you get a nice idea of what's coming up and you will be less intimidated. You can also understand the teacher better since the teacher will probably be going at a faster pace whereas here, you can pause and process info. This is great for people who can't focus/understand stuff in class.

    • @andrescientos
      @andrescientos 4 роки тому +37

      Truly agree, you can't just tell me pi is equal to 3.14, I need to know where that number comes from.

    • @starbrightgalaxy3962
      @starbrightgalaxy3962 4 роки тому +11

      i do it bc we get a homework pass ifwe catch a mistake by the teacher

    • @bluefox481
      @bluefox481 3 роки тому +3

      We got this lesson in our summer book while we didnt take it yet, they didnt teach it to us bcz the covid 19 while they needed to teach it for us, so im working on ur tip for watching it before school come back and review it for us

    • @frezywizard
      @frezywizard Рік тому +4

      They don't tell us what they are going to teach us before they start to teach us

    • @Awesome-ct7vr
      @Awesome-ct7vr Рік тому +2

      Heres another cool tip.
      To know if you are dealing with any special right triangle:
      Take the shortest leg (ex. =3)
      Then square it. And divide by 2.
      3²=9 --> 9/2 =4.5 (add and subtract 0.5 aka +-) 4.5 + 0.5 = 5 , 4.5 -0.5 = 4
      Now you know youre dealling with a 3 4 5 triangle
      Another example for sport.
      7² = 49 --> 24.5 +- 0.5 --> 24 , 25
      Triangle 7,24,25.

  • @sasha41661
    @sasha41661 6 місяців тому +112

    Who’s watching this the morning before a test??😭😭

  • @gelgel6217
    @gelgel6217 4 роки тому +299

    How I look at circles when I was a kid will never be the same anymore ⭕

  • @crazethebosspurple8148
    @crazethebosspurple8148 3 роки тому +23

    Who else is looking at this 5 min b4 a test

    • @cril4739
      @cril4739 3 роки тому +3

      Before a final

  • @kristofkopecky5723
    @kristofkopecky5723 3 роки тому +112

    From Chemistry to Geometry this guy is a life saver

  • @razerskrythe490
    @razerskrythe490 3 роки тому +171

    I learned more in a 18 minute video than a 1 hour and 30 minute double lesson

  • @zacharywhite7139
    @zacharywhite7139 3 роки тому +12

    My teacher literally was not helping so i had to come here

  • @SlowedByCinnamxn
    @SlowedByCinnamxn 2 роки тому +32

    This Dude, not Only Uploads Science Videos, but he Uploads a Lot of Helpful Math Videos. What a Legend he is.

  • @trashcanwithbugsinside
    @trashcanwithbugsinside 7 місяців тому +4

    Watching these to study 💀💀💀

  • @johnclement7473
    @johnclement7473 3 роки тому +13

    This is how you teach mathematics and how it's suppose to be broken down thank you so much wow!!!!

  • @georgesadler7830
    @georgesadler7830 2 роки тому +15

    MR. Organic Chemistry Tutor, thank you for another incredible video/lecture on Circles in Geometry and the Basic Introduction to Areas, Circumference, Arclength, Inscribed Angles and Chords. All these topics are illustrated by diagrams/shapes and old fashion Formulas. The Formulas can also be derived using basic and Advanced Mathematics.

  • @lrosales797
    @lrosales797 3 роки тому +56

    Hello! It might not reach you due to the overwhelming comments you receive throughout all your lecture videos, but I wanted to take the time and thank you for providing so many educational videos, you have no idea how much this is helping me, it will even help me get through college. This is not much, I know, but remember that you have helped so many, and without you, many wouldn't be where they wanted to be (in terms of careers and education) Don't ever stop making more videos!

  • @ashera9506
    @ashera9506 3 роки тому +6

    I dont know why but im simping for his voice😩🖐️

  • @mimimokdad2405
    @mimimokdad2405 3 роки тому +11

    Whats the app u use to draw ??

  • @davidgago826
    @davidgago826 5 років тому +49

    This would be a good review video from my students to remember the difference between all of the parts, and theorems regarding circles. Well Done!

  • @latashawilliams6421
    @latashawilliams6421 2 роки тому +8

    I saw that pythagorean triple from a mile away. great video. his explainations are very clear

  • @jafrajulsiruelo
    @jafrajulsiruelo 2 роки тому +7

    thanks for this video, although it's fast paced i really appreciate it that you're not spoon feeding and that u made it really clear.

  • @sergeantkrissy1641
    @sergeantkrissy1641 3 роки тому +12

    Im a visual learner, like i legit cannot understand if the teacher is just explaining it rapidly and stuff, and here, it really helped me out, im doing my final exam tomorrow and this was the only concept i didnt understand until now, i got to see it done, while explaining and examples , and i dont hear like "get it now? ok so now you try" its more like "ok we will do this together"

  • @oyingiwahouse_of_majestic254
    @oyingiwahouse_of_majestic254 3 роки тому +5

    This is so explanatory

  • @OwnedRules
    @OwnedRules 10 місяців тому +2

    our teacher said...
    diameter is a chord that passes through the center of a circle

  • @rishktelu8966
    @rishktelu8966 7 місяців тому +1

    Why am in 7th grade and need to learn more than this class teaches

    • @aliiiyoutube
      @aliiiyoutube 6 місяців тому

      Uhh your probably don’t. Depends on your country and hs/college plans.

    • @Mofa62
      @Mofa62 5 місяців тому

      Because you are either so smart, or probably cheated on your final exam last year and scored so high to sit in a course you'd take normally in 10th grade

  • @mallxsanders2647
    @mallxsanders2647 Рік тому +2

    Why are you watching this the night before your exam 🤦🏾

    • @Rosbin
      @Rosbin Рік тому +1

      ...because I wasn't paying attention at all in class 😭

    • @im_loufr
      @im_loufr 4 місяці тому

      Im sorry😭😭

  • @bussybishes8253
    @bussybishes8253 5 місяців тому +2

    Im still lost

    • @EvnCie
      @EvnCie 2 місяці тому

      Keep practicing.

  • @kenesufernandez1281
    @kenesufernandez1281 Місяць тому +2

    💖

  • @foldr431
    @foldr431 3 роки тому +9

    It’s important that you divide θ by 360° when calculating properties of a sector, not by 360 radians. Always include the degree sign to avoid confusion.

  • @evanr566
    @evanr566 6 років тому +34

    You’re my dad

  • @merceditaamion8784
    @merceditaamion8784 4 роки тому +5

    3:26 wait wait, where did the m from mac come from???

    • @jaydonkurian2593
      @jaydonkurian2593 4 роки тому +10

      the "m" in mAC means measure of the arc AC. This m is often used when writing the "measure of" angles, arcs, etc. For example, mAB is read as the "measure of arc AB". Or if you were talking about the measure of an angle, you would see something like this: mABD, read as the "measure of angle ABD".
      Hope that helps :)

    • @christophergonzalez8883
      @christophergonzalez8883 3 роки тому

      @@jaydonkurian2593 well explained

  • @saintelyy
    @saintelyy 3 роки тому +4

    Awesome video! I learned a whole bunch of stuff

  • @doierry772
    @doierry772 Рік тому +4

    this is so cool.. I have an exam in a month this explained the topic that Im lacking in so well!!!!!

    • @mahanc1124
      @mahanc1124 Місяць тому

      my exam is legit tomorrow 😭

  • @darlingnight029
    @darlingnight029 2 роки тому +1

    on question 3 why bother with all that sector solving because we can immediately use the central angle theorem?
    btw this is a genuine question,,
    i dont know what i dont know ,,
    if im ignorant then enlighten me pls

  • @carlpabello1752
    @carlpabello1752 4 роки тому +4

    Thankyou sir

  • @chinonyelumanumba
    @chinonyelumanumba 4 роки тому +7

    Good morning sir, please I have a correction to make at 17:21 625pie is 2057.7 and when you minus 336 from 2057.7 the answer is 1721.1
    Thanks

    • @yummyspicyhut529
      @yummyspicyhut529 3 роки тому +2

      are you resident obama daugther

    • @DirtyDan16_
      @DirtyDan16_ 3 роки тому +1

      Umm... how?! I just checked and 625pi does equal to about 1963.5, the thing is you probably typed 655pi which will be equal to 2057.7.

  • @jacintaganema8993
    @jacintaganema8993 11 місяців тому +1

    You're better than my STEM Math teacher .You're such a cool guy. Thank you very much .

  • @giovannasurace3988
    @giovannasurace3988 Рік тому +1

    I used these videos back in geometry freshmen year of high school to now studying for the GRE my junior year of college. I think I would be a failure without these videos

  • @hyacinthokafor8232
    @hyacinthokafor8232 11 місяців тому +1

    Honestly the person or people who made math is on another level

  • @reelmonalisa7147
    @reelmonalisa7147 7 днів тому

    God bless you 😭 I wish you were my teacher!! Appreciate your work

  • @خالد_الشيباني
    @خالد_الشيباني 6 років тому +4

    you are the best

  • @kal_4life
    @kal_4life 4 роки тому +2

    Congrat on 2 million

  • @mukorodiana573
    @mukorodiana573 3 місяці тому

    The area of the circle given in the example, isn't that the area of a sector? It's quite confusing.

  • @starryasteria9166
    @starryasteria9166 3 роки тому +1

    im starting to think this guy iz a god

  • @chauterrr
    @chauterrr 2 роки тому +1

    I learned this more than my long math lesson in school

  • @piusmunyaneza7922
    @piusmunyaneza7922 4 роки тому +7

    I am learning from Uganda and i thin i should skip school to get enough of my *The Organic Chemistry Tutor*

  • @maryellazo3891
    @maryellazo3891 2 роки тому +1

    Thank you!!! ❤

  • @umarmumtaz7585
    @umarmumtaz7585 3 роки тому +1

    OMG😱😱YOU SAVED MY LIFE

  • @PerversePG
    @PerversePG Рік тому

    I singed in under a different account and the adds every 3 seconds that last longer than the content make your site unusable. LIterally, it cuts you off mid-sentence and completely confuses the viewer. This is the worst learning experience ever and I'm not going to pay for another account. I can find this content elsewhere without so many ads.

  • @Dark_academia_
    @Dark_academia_ 2 роки тому

    youtube is getting wayyyy too comfortable with 2 adds that you can't skip EVERY 5 seconds 😑😒

  • @twm1452
    @twm1452 7 місяців тому

    When calculating the area of the hatched region at 14 minutes into the video, aren’t you forgetting to subtract out the area between the arc BC and the base of the triangle?

  • @KraichyluHerbsdu
    @KraichyluHerbsdu Рік тому

    This is how you teach mathematics and how it's suppose to be broken down thank you so much wow!!!!

  • @TheSplitguy
    @TheSplitguy 2 роки тому

    I’m just confused on why this is in my recommended

  • @harmonyallin
    @harmonyallin 8 місяців тому

    10:57

  • @snak310
    @snak310 3 місяці тому

    so cooked for my regents

  • @AlbiniaYT
    @AlbiniaYT Рік тому

    3:29

  • @TrueSaul
    @TrueSaul 2 місяці тому

    Yeah im cooked

  • @KDADX
    @KDADX 10 місяців тому

    sir can u explain minor segment and major segment, please

  • @romilmogaveera
    @romilmogaveera 4 місяці тому

    W teacher ngl

  • @sanopann1896
    @sanopann1896 Рік тому

    thank you my baby

  • @ErinIsTired05
    @ErinIsTired05 6 місяців тому

    This is such a great help to me!

  • @Do-Some-Change
    @Do-Some-Change 5 місяців тому

    thanks bro

  • @oneortwo2613
    @oneortwo2613 6 місяців тому

    Thanks bro is was very helpful ❤

  • @incredible403
    @incredible403 3 роки тому +1

    Thanks a lot

  • @evoxis1058
    @evoxis1058 2 роки тому

    Tryna cram this in the bathroom before my test...

  • @deletedaccount567
    @deletedaccount567 2 роки тому

    My geometry teacher could never 🤣👌🏿

  • @manimations7353
    @manimations7353 Рік тому

    Why is Ark AB the same?

  • @Mh-jz1zb
    @Mh-jz1zb 3 роки тому

    Nice explaination now my depression has decreaced

  • @dianarii3230
    @dianarii3230 2 роки тому

    I'm a 5th grader
    Why are we learning this at 5th grade we should learn this on 6th grade man
    But this helped me understood the lesson

    • @Tvtardy
      @Tvtardy Рік тому

      im learing this in the summer of 9th going to tenth lol

  • @lspellslogic877
    @lspellslogic877 3 роки тому

    Thank you I really did not understand what our teacher just handed us

  • @thatomofolo452
    @thatomofolo452 Рік тому

    W 👍👍

  • @وجد-ك8ع
    @وجد-ك8ع 3 роки тому

    اختباري بكره أدعوا لي أخ

  • @Wynnlysm
    @Wynnlysm 5 місяців тому

    day of state testing for math because my geometry teacher didn’t get around to circles before the state test, hoping i can figure it out 😭

  • @Lmc204
    @Lmc204 Рік тому

    at 7:17 you put that the circumference is pi times the dimeter. but the circumference formula is 2times pi times r

    • @twm1452
      @twm1452 7 місяців тому

      And what is D? 2r. The are both correct.

  • @fortunefinest
    @fortunefinest 6 місяців тому

    You are the best sir

  • @sxmpra.4526
    @sxmpra.4526 2 роки тому

    is this even math bro 😭

  • @snowwhite3212
    @snowwhite3212 4 роки тому +1

    Good point at 6:00 minutes

    • @iyaz_
      @iyaz_ 4 роки тому

      Uh
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      U
      R
      R
      R
      R
      R
      R
      R
      R
      R
      T
      T
      T
      H
      H
      H
      I
      I
      I
      Cc
      C
      C
      K
      K
      K
      E
      R
      R
      R
      R
      T
      H
      H
      H
      H
      H
      H
      A
      A
      A
      A
      N
      N
      N
      N
      N
      A
      S
      Niker

  • @x_carlos_x7174
    @x_carlos_x7174 Рік тому

    I appreciate you so much

  • @TaliaAlsayed
    @TaliaAlsayed Рік тому

    in 8:02 why did you write cm^2 and not cm only? we did that for the circumference, so why not the area? is it because the formula has a ^2?

    • @malliemaile6746
      @malliemaile6746 5 місяців тому +2

      I had the same problem as you but remembered that rarely anyone presents an area in a straight line but in a square. That's why, cm²

  • @saswatakundu2
    @saswatakundu2 Рік тому

    Thanks for another great lesson!!

  • @ahahwhaha1641
    @ahahwhaha1641 Рік тому

  • @yesno1067
    @yesno1067 3 роки тому

    In 8:06 why does the radius aka 4 have to be in brackets can't you just have it as 4² and if not then why?

    • @ashar2957
      @ashar2957 3 роки тому

      You are supposed to use brackets as an indication of multiplying, or bodmas

  • @anranxia852
    @anranxia852 2 роки тому

    Hirap nmn.

  • @dieofficialdankoo2311
    @dieofficialdankoo2311 2 роки тому

    it really tought me more

  • @markjasperriego6324
    @markjasperriego6324 Рік тому

    what is fata?

  • @oukawadesu
    @oukawadesu 2 роки тому

    Salamat at dahil sayo mas nalaman ko na mahirap pla talaga ang math kund wla ka alam sa solving

  • @shukrihonor-on3pc
    @shukrihonor-on3pc Рік тому

    very good teacher

  • @jansilasombrado4187
    @jansilasombrado4187 2 роки тому

    Why did you add the Pythagorean theorem in the last part

  • @Baragaytanud
    @Baragaytanud Рік тому

    thank you

  • @itsamehmauri2657
    @itsamehmauri2657 3 роки тому

    Mox is bot 🤖

  • @shaniyamines4976
    @shaniyamines4976 3 роки тому

    0:25, 1:24

  • @eddyherfst2923
    @eddyherfst2923 2 роки тому

    👍

  • @Nour-sn5ve
    @Nour-sn5ve Рік тому

    Syzyhfvde❤😂😮

  • @youthkive
    @youthkive 2 роки тому

    on 8:56, why'd u write 2piR not 2piR^2?

    • @doggy3327
      @doggy3327 2 роки тому

      I'm late but review the difference between the formula for the area and the circumference of a circle. The circumference is 2piR and the area is piR^2

  • @secretsitebuilder8974
    @secretsitebuilder8974 2 роки тому

    Thanks sir

  • @jennifermbabazi113
    @jennifermbabazi113 3 роки тому

    sir thank u soooooooo much

  • @dianakeithblancovergavera6934
    @dianakeithblancovergavera6934 2 роки тому

    literally the best! thank you sm!

  • @JorgeRamos-xw6dy
    @JorgeRamos-xw6dy Рік тому

    Well done sir.

  • @tobiassiamfuko5500
    @tobiassiamfuko5500 3 роки тому

    so easy now

  • @Games-vo7zl
    @Games-vo7zl 2 роки тому

    You are great 👍

  • @yemurayimachokoto8174
    @yemurayimachokoto8174 3 роки тому

    well understood

  • @clarencec8189
    @clarencec8189 3 роки тому

    I got 50.24cm

  • @andrescientos
    @andrescientos 4 роки тому +3

    At 9:30 you could've just said
    "Multiply the percentage the angle occupies in a 360 degree circle, with a circumference of 43.96."
    150 Degrees is 41.6% of a 360 Degree Circle that has a Circumference of 43.96.
    Multiply .416 by the circumference 43.96
    BOOM
    You get an Arc of 18.28736
    Round.