this is my 3rd time going to take my sc exams i understood this after 4 years..im so grateful to finally understand this..i have exams tomorrow..i hope i pass this time
@@pinkflamingo_ it was really good! No circle theorems came up on it but I bet that just means that P4 (which I’ve got tmrw) is packed with them. I made a few mistakes but I calculated the lowest I can get and it’s around a 85%, so I think it’s a guaranteed A :D
Hey, was looking for a guide on circle theorems. Doing early GCSE and was really struggling with how to implement these rules. You've really saved me! Thank you so much!
I was having trouble recognizing angles in segments before this video. But this video cleared all my confusions regarding this topic. Great video. Even the examples taken were difficult and great, considering this video is made to help students.
11:54 is it not angles of the same segment? Isn't angle CAB and COB 58°? I'm so confused 😕😭 Or does it have to be on the circumference for the theorem (angles in the same segment) to apply?
Hii, Im 12 and did not understand alot of circle theorems in school cause I was sick, and now I have my maths exams tomorrow✋😭 Was panincking cause i couldnt find a good video until I came across this. TYSM you saved my life! Hope i pass my test lol!
yo literally me !! The one day that i was absent cause i was sick, the teacher gets done with like 5 theorems !!! i am panicking wish me luck people i have my Math exam tomorrow 😭 🤞
00:04 - Angles in the same segment are equal 01:51 - Circle theorems help determine angles and relationships within a circle. 03:35 - Cyclic quadrilateral theorem and tangent theorem explained 05:19 - Tangents from the same point are equal in length 06:58 - Find angle ABD and give reasons for answers 08:38 - Finding angles in a triangle and cyclic quadrilateral 10:25 - Using the alternate segment theorem to find angle BCF as 20 degrees 12:04 - Using circle theorems to find angle measurements.
Have you an idea? How can I solve this problem, please? Given a square ABCD of side 10 cm, and using the corners as centers ,construct four quadrants with radius 10 cm each inside the square. The four arcs intersect at P,Q, R and S . Find the area enclosed by PQRS. Thank you so much .
Another way to calculate angle BCF in the second worked example is toagain observe ACD is 35 deg (isoceles triangle) and ACB is 90 deg (since AB is a diameter), so angle BCD is 125. This means that BAD is 55 deg (cycilc quadrilateral) so BAD is 20 deg (55 deg - 35 deg) as is BCF.
THANK YOU AGAIN! i think i’ve commented on ur videos before haha😂.but i never ever rlly understood circle theorems which is why i dropped marks on that section in my maths test. already 3 mins in and everything feels clearer. DON’T STOP WHAT YOU’RE DOING! THANK YOU SO MUCH!
1: Angles in same segment are equal. 2:angles in a semicircle or on diameter is right angle mean 90°.3: the angle at the centre is twice the angle at the circumference.
Thank you dear for this great explanation. I have a question regarding work example 2. The opposite angle should equal in quadrilateral but in the example that was not true. Can you explain this confusion.
Example 2: It's much easier: ACD = 35°; because the legs of the triangle are the same lenght ACB = 90°; same reason (Diameter) DCE = 35° (Last theorem) FCB = 180° - 35° - 35° - 90° = 20°
on the 3rd example can't you do 90 degress(radius and tangent) is in the same segment as ABO so ABO is also 50 degrees which would save alot of time or am I missing a rule that means im incorrect?
There's this really ez way to answer the last question, I'm not sure if it will get you full marks though? you create an imaginary tangent that touches the circle at point B, then the radius (QB) makes a 90 deg angle with the tangent (theorem) and angle ACB = the angle made between the chord AB and the tangent (alternate segment theorem) = 40 deg angle ABO + 40 deg = 90 (cuz the radius makes a 90 deg angle with the tangent) angle ABO = 50 deg
How do you prove the last theorem? I dont find any constellation of lines and angels to show that the opposite angle inside the circle is equal to the angle on the tangent, except when the angle at the tangent is next to an 90° angle Edit: Nvm i got it, in Triangles and at lines: all angles add up to 180°.
best videos!!! but just one question, are there not 8 Theorems? the one that goes " the radius through a midpoint of a chord will bisect the chord at 90 degrees"
I dont understand part of last question. You said that you use the theorem where the center angle is double angle at circumference but this doesnt look anything like the example used,
Imagine there is a string going from C to A to B but it is fixed at C and B. Now drag the point A around the circumference and it will look like the diagram you are expecting. What matters is both angles start and end at C and B and are formed in the same segment.
The angle at the centre and circumference must start and end at the same points. COB and CAB both start at C and end at B so they come from the chord CB. Angle ABC however comes from the chord AC.
Please I don't think so because the theorem didn't say they are supposed to be equal but rather, the opposite sides of a cyclic quadrilateral is supposed to add up to 180°
These are way better than the theorems and how they’re presented in American texts. Nicely done.
and english
Im not suprised
My teacher always talked about angles "subtended"
got my gcse tomorrow. thanks for the helpful video
fr
same good luck ahhhh
Frr
Same good luck 🤞
Got my GCSEs in an hour
I’m 40 learning this stuff for fun now and this is stuff hs kids are learning. That’s awesome, do great things kiddos
I'm 14 and learning this at school, don't quite understand how this is fun 😭
@@f0xt3r11 ikr even my exams are due to start in 10 days and i still dont understand how now how funs that?
@@f0xt3r11im 14 and same
for. FUN?
@@The-Survivalist1 nah bro by "fun" i was being sarcastic i just revise watching sir @1stClassMaths
You actually made me understand circle theorems thank uuu
Honestly just an amazing video, thank you so much.
You're very welcome!
this explanation is better than teaching on a board...thank you so much ...God bless U🤩
Thanks!
Thank you very much for this! 💙
this is my 3rd time going to take my sc exams i understood this after 4 years..im so grateful to finally understand this..i have exams tomorrow..i hope i pass this time
I have a mock exam today
I hope I pass because of your videos
Hope it went ok!
Did you pass?
Bro how it went?
Did you pass or not?
Omggggg my other name is also anjalaaaa.....it's js so rare to find someone with the same name🤩🤩🤩
Just wanted to say, as someone studying this from Brazil, your channel is an amazing gem, keep up the great work and thank you 🙏
from brazil is mad 😭🙏🙏
u play minecraft 😭🙏🏼@@DannyOF
@@azeemrazzaque9949 ????
@@azeemrazzaque9949 ???
i love this. i was so lost in circle thereoms but learnt it and could answer questions correctly thanks to you
i have my test in 20+ days, i dont understand a thing yet.
i have a math test in 2 hours 😭
Bro😂😂😂 never do that again every thing should be in his time 🫡
So, how did it go?
What score did you get
I had a math test in 1988😊
Story of my life right here, watching UA-cam videos hours before a test.😮💨
Got my iGCSE exams tomorrow at 10AM. 12 hours left. Thank you for this video, it’s super helpful! Let’s hope I crush this test :D
GL
how was it
@@pinkflamingo_90% chance she doesn’t respond 💀 they never do
@@pinkflamingo_ it was really good! No circle theorems came up on it but I bet that just means that P4 (which I’ve got tmrw) is packed with them. I made a few mistakes but I calculated the lowest I can get and it’s around a 85%, so I think it’s a guaranteed A :D
@@Jimmy-fr1ig defied the odds 🔥
Very well presented - Thank you!
Really like the way you teach. Thank you very very much.
You are welcome!
literal lifesaver oml 🙏
Danganronpaa
Thanx for putting all that stuff together in one video of reasonable length! Great job 👍
🙂👻
I have igcse math exam tomorrow pray for me guys
Same😭
same, good luck !
same wish you the best
God bless you
Same 😢
Hey, was looking for a guide on circle theorems. Doing early GCSE and was really struggling with how to implement these rules. You've really saved me! Thank you so much!
Great to hear!
Watching this 2 hours before the exams 🕺🕺
howd it go?
Same here
real
So underrated tysm
No problem 😊
thank u so much man i watched hundreds of circle theorems lectures but i didnt get it till i watched ur video ur very talented
Excellent teaching. Simple and clear.
Watching this 5 hours before my exam wish me luck
how did it go?
This is the best and the most thorough explanation of circle geometry wow .I understand a lot now😊
Glad to have helped :)
ur so underrated!!! helped me understand so many topics in a a very short time. keep going ❤
Thank you! Will do!
Thank you so much sir.. you have helped me to understand circle theorem better 🙏
You are most welcome
Fab video - so clear.... thanks... Helping daughter with GCSE maths!
You've done what I thought I'd never do .....understanding the Circle cause I know it now oh my God 😢❤ I'm no longer afraid
where were u my whole life !!! THANK U SOOOOOOOO MUCH 🤩😍😍
I've just been here. Where were you?
This video is so helpful! Thank you so much! Keep up the good work :D
I was having trouble recognizing angles in segments before this video. But this video cleared all my confusions regarding this topic. Great video. Even the examples taken were difficult and great, considering this video is made to help students.
You're very welcome!
11:54 is it not angles of the same segment? Isn't angle CAB and COB 58°? I'm so confused 😕😭
Or does it have to be on the circumference for the theorem (angles in the same segment) to apply?
For the angles in the same segment they both need to be on the circumference. I think you worked this one out yourself :)
this video explained the topic so well! i can actually understand it step by step, thank you so so much! 💜
Glad it was helpful!
What a rich review of geometric
Relations. Thank you. 10:01 10:04
Got my mocks in a week, I am currently surviving using these vids, wish me luck.
Good luck!
yo mines tmrw😭
your explanation and the way you deliver the idea is amazing, also love the amount of examples thank you.
Glad you liked it!
Hii, Im 12 and did not understand alot of circle theorems in school cause I was sick, and now I have my maths exams tomorrow✋😭 Was panincking cause i couldnt find a good video until I came across this. TYSM you saved my life! Hope i pass my test lol!
Glad I could help!
doing circle theorem at 12???? i’m only doing it at 16 😂
yo literally me !!
The one day that i was absent cause i was sick, the teacher gets done with like 5 theorems !!! i am panicking wish me luck people i have my Math exam tomorrow 😭
🤞
dont know if i will ever use this in my life but helpful for the test
00:04 - Angles in the same segment are equal
01:51 - Circle theorems help determine angles and relationships within a circle.
03:35 - Cyclic quadrilateral theorem and tangent theorem explained
05:19 - Tangents from the same point are equal in length
06:58 - Find angle ABD and give reasons for answers
08:38 - Finding angles in a triangle and cyclic quadrilateral
10:25 - Using the alternate segment theorem to find angle BCF as 20 degrees
12:04 - Using circle theorems to find angle measurements.
looking for this
@@mubarakelhalangi8903 it in the description
Thank you so much
I really appreciate the use of different colors to explain the concept
Glad it was helpful!
Have you an idea? How can I solve this problem, please?
Given a square ABCD of side 10 cm, and using the corners as centers ,construct four quadrants with radius 10 cm each inside the square.
The four arcs intersect at P,Q, R and S .
Find the area enclosed by PQRS.
Thank you so much .
You're helping me with a test in 1 hr 🙏
Another way to calculate angle BCF in the second worked example is toagain observe ACD is 35 deg (isoceles triangle) and ACB is 90 deg (since AB is a diameter), so angle BCD is 125. This means that BAD is 55 deg (cycilc quadrilateral) so BAD is 20 deg (55 deg - 35 deg) as is BCF.
Very best message video in my life ❤❤
THANK YOU AGAIN! i think i’ve commented on ur videos before haha😂.but i never ever rlly understood circle theorems which is why i dropped marks on that section in my maths test. already 3 mins in and everything feels clearer. DON’T STOP WHAT YOU’RE DOING! THANK YOU SO MUCH!
Very glad to hear this! I will keep making content don't worry! Thanks for commenting. :)
got my gcse today wish me luck :)
I was in a 2 hour class about circle theorems and this video helped me more than that class
My teacher just posted a four hour lecture about it, when this 14 minute video covers it all.
Such a good short summary of theorems❤❤
Imagine watching this an hour before the exams😂😅
Then you're either going to get there and not remember anything or you will remember everything.
1: Angles in same segment are equal. 2:angles in a semicircle or on diameter is right angle mean 90°.3: the angle at the centre is twice the angle at the circumference.
this i actually fun lol im learning things that are gonna happen in like 4 years thanks for the help
your programme is useful to my mathematical life
Thanks for helping me ur an angel😊
my mans doing gods work trustttt
The day after tomorrow I'm writing ,,
Man your a life saver
My fav topic. Now I can attack it without fear🎉🎉🎉
Thank you for the videos, sir.
If I may ask, what is the name of the app you can use to create your video?
Thanks for this. I can now help my son with his revision.
Smooth and refreshing.
69yo BSME, 30yrs away from calculations.
bro what the hell are you doing watching these
good luck to everyone watching 30 minutes before the exam
Thank you dear for this great explanation. I have a question regarding work example 2. The opposite angle should equal in quadrilateral but in the example that was not true. Can you explain this confusion.
Hi. If you rewatch the main theorem you will see I mention that the four corners must be on the circumference of the circle to be considered cyclic.
Thanks very much for your explanation and God bless you.
Just started revising today. Got my exam tomorrow 😭
Same
bro i’m learning this whole unit at 11pm bc i was away on medical leave and my teacher won’t cut me any slack
Top viewed video, pls reach 1 million
Example 2: It's much easier:
ACD = 35°; because the legs of the triangle are the same lenght
ACB = 90°; same reason (Diameter)
DCE = 35° (Last theorem)
FCB = 180° - 35° - 35° - 90° = 20°
on the 3rd example can't you do 90 degress(radius and tangent) is in the same segment as ABO so ABO is also 50 degrees which would save alot of time or am I missing a rule that means im incorrect?
Sorry I don't follow your explanation here.
gd work, nicly explained
Thank you for the clear explanation!
There's this really ez way to answer the last question, I'm not sure if it will get you full marks though?
you create an imaginary tangent that touches the circle at point B, then the radius (QB) makes a 90 deg angle with the tangent (theorem)
and angle ACB = the angle made between the chord AB and the tangent (alternate segment theorem) = 40 deg
angle ABO + 40 deg = 90 (cuz the radius makes a 90 deg angle with the tangent)
angle ABO = 50 deg
14 min video isvery useful for me
Hello thank you so much. Is isoceles triangle's angle 35°?
great job
thanks a lot for the clarification, that was incredibly amazing
11:04 why isn’t angle DAO = angle DCB even tho it is a cyclical quadrilateral
Opposite angles in a cyclic quadrilateral are not equal, they add to make 180°
thanks this was very helpful👍
Watching this 1 hour before my exam 😀
How do you prove the last theorem? I dont find any constellation of lines and angels to show that the opposite angle inside the circle is equal to the angle on the tangent, except when the angle at the tangent is next to an 90° angle
Edit: Nvm i got it, in Triangles and at lines: all angles add up to 180°.
Glad you saved me a job :)
So crystal clear concept
Excellent explanation
I’m kinda confused on the alternate segment theorem- how do you know which one angle matches with which?
best videos!!! but just one question, are there not 8 Theorems? the one that goes " the radius through a midpoint of a chord will bisect the chord at 90 degrees"
Hi yes you're correct. This theorem is almost never used but you can find it in my proof of circle theorems video.
@@1stClassMaths ok thanks!!!
How do you make maths videos like this?
have my mid terms tmro this is the only topic i dont get hope this helps
I'm watching this video 4 hours before the Edexcel IGCSE 9-1 Mathematics Higher tier
Very useful. Thank you.
Amazing video
why would we add 35 and 35 to find D in 9:01
We are using angles in a triangle add to make 180°.
watching this an hour and 20 mins before my paper 1 gcse x
same
circle theorems is paper 2 and three lol
I dont understand part of last question. You said that you use the theorem where the center angle is double angle at circumference but this doesnt look anything like the example used,
Imagine there is a string going from C to A to B but it is fixed at C and B. Now drag the point A around the circumference and it will look like the diagram you are expecting. What matters is both angles start and end at C and B and are formed in the same segment.
Are we meant to memorise evry single theorem for exams?
i love your videos please don't die
I promise, I will never die.
Thank you very much!
Congrats on 100k views!
Thanks for pointing this out! I hadn't realised. That's incredible!
Thanks a lot professor I follow you from Algeria
You are very welcome
thanks u need more views :)
Thanks. The algorithm doesn't like me so much though :D
LIFE SAVIOUR , LIFE SAVIOURRRRRRRR
THANK YOU SO. MUCH
Is there any video which shows all the proofs for the theorems
ua-cam.com/video/CmprPWcLtlk/v-deo.html
how did you know for the last example that the angle at the circumference was double that at the centre was applied to angle CAB and not ABC?
The angle at the centre and circumference must start and end at the same points. COB and CAB both start at C and end at B so they come from the chord CB.
Angle ABC however comes from the chord AC.
I have a question for third example cant we use the bowtie theorem ??
Like for CAB because they are in the same segment 12:27
This applies when both angles are at the circumference but in this one COB is at the centre.
ye thats what i thought as well!
In the question Find BCF isn't angle ADC and angle ABC equal because they are angles from the same segment??
Please I don't think so because the theorem didn't say they are supposed to be equal but rather, the opposite sides of a cyclic quadrilateral is supposed to add up to 180°
Well explained sir.