General Formula for Area of Segment in a Circle -GCSE-EDEXCEL-SAT

[@PravinChandraMishra]

Really helpful. I was looking for derivation and here I found it.

[@thomaskikonke1528]

This is the only thing which I was luckying I think it will help in trigonometry on identical. Thank you

[@NiaNick565]

Thank u so much u hAVE NO IDEA HOW MUCH U HELPED ME😢

[@MathematicsTutor]

My pleasure. Here is a Playlist for you: kzbin.info/www/bejne/opuvpJuNfKuKiJY

[@bevster1]

If you haven't learnt identities yet, you can also just derive the formula for the area of a triangle from 1/2absinC. a = r, and b = r. So, you end up with 1/2r^2sintheta :)

[@Anon101sss]

I love you

[@samanthashermaine230]

You are so helpful like the person in the video

[@bevster1]

@@samanthashermaine230 Thank you! I'm happy it helped.

[@XhosaLanguage]

You called be dumb in 377 languages

[@vikashsharma-zj6lq]

Yaa......but why sir is use area of sector is pie ² theta /2pie... ....at 2:47

[@mahanthrudrabhatla2886]

Excellent explanation. Good clarity in concept & communication.

[@MathematicsTutor]

Thanks for your time and appreciation

[@briancedrickonan7376]

Thank you for this masterpiece.

[@addisonplummer3531]

thankyouuuu this was a big help and saved my math's assignment

[@Abdelfattah-hr8tt]

Merci anil from Morocco

[@MathematicsTutor]

Thanks. PLAYLIST: kzbin.info/www/bejne/m3SqimuiqM2Dr5o

[@luiscox7093]

Nice video, the explanation was quit exquisite jajajaj i didn't understand one exercise of my fluid's class and with this video i am ready for my partials. Thank you.

[@Anon101sss]

Are you Spanish? Cause you type jaja instead of haha

[@SeemaSingh-sarvkritika]

Please make it more clear I have problem in understanding the area of triangle

[@__ICT__1288]

My Indian of the day

[@ladlidiksha6611]

Sir, why the formula of segment is different in different books like in RS Aggrawal and in RD Sharma? Literally I was confused, but now I understood. Still plz give answer of my question. Plz plz plz, sir. I request u

[@borntobeadoctor6680]

Or simply 1/2 ab * sin (c) for non right angle only

[@someoneyoumayknow5637]

Can u explain a bit more pls?

[@Legend_Pigeon_]

2023-2024 attendence here

[@BUNNYJASHWANTH-z9s]

Bro😂😂😂

[@saraswatidarmwal3682]

OMG! What an brilliant explanation teacher.

[@MathematicsTutor]

Thanks

[@MathematicsTutor]

Here is a related playlist with application examples: kzbin.info/www/bejne/aqCkepiIfZxlhpY

[@collingrando1098]

Good explanation 👍👍👍

[@ds5375]

Great explanation!

[@Hariom-m8g5f]

Good

[@MathematicsTutor]

Thanks

[@JayGarrison-rx9um]

I see why these kids find math so hard . Teachers like this ......

[@FactsFlight]

That's what I was looking for

[@MathematicsTutor]

Thanks. Playlist for you: kzbin.info/www/bejne/aqCkepiIfZxlhpY

[@rohit.kumar007]

What an explanation!!! 🙏🙏🙏 Hats off

[@krishnegowdadr]

Bro 😮 i am from 2025 and this sir teaches so good then the other KZbin teacher 😮😮😮

[@MathematicsTutor]

Thanks a lot for appreciation

[@DattaAJa]

Super...... Sir

[@TanujPandit-t8v]

Thanks sir ❤❤

[@MathematicsTutor]

Thanks for appreciation

[@TanujPandit-t8v]

@@MathematicsTutor it's ok sir 🥰

[@MuhammadHassan-py1rq]

Excellent illustration sir 👍

[@shouryasinha-k9p]

sir can we use it in our final exam

[@harshitnayak9305]

Wonderful explanation

[@MathematicsTutor]

Thanks for appreciation.

[@shardashejul1848]

Sir , can we find the area if theta is not given??

[@saraswatidarmwal3682]

Sir, is this formula applicable in terms of degree?

[@mahendratripathi4811]

Can we use this in class 10 exam?

[@dawit-y7s]

The formula works perfectly thanks sir

[@MathematicsTutor]

Welcome 👍

[@attiqrehman4744]

In area of triangle you draw prependicular line so it is a prependicular bisect sir if it is perpendicular bisect then what about angle why you divide angle into congruent parts can you clarify this angle division by any law or it is angle bisector because this triangle is iscoless how angle bisector and prependicular bisector are used in a triangle?

[@renupandey9770]

Outstanding sir

[@MathematicsTutor]

Thanks a lot for appreciation.

[@faragayad4513]

thank you so much , I am very interested in this filed how to contact with you i have some question . I will pay for you if you want?

[@mr.allrounder9412]

Konsi field

[@theonlyholyDEMIGOD]

@@mr.allrounder9412 oh bhai tu bhi yaha wah. All the best

[@ritawashere5787]

Hi there, I hope you're willing to help me. My grandson and I are working on a project. Building a cat treadmill wheel. I would like to find out either the diameter or circumference of a Circle if I've got the measurement from A to B(10-10/16) and then the "segment area" is 2"" from the middle of 10-10/16" to the outer edge of circle. So with these numbers is it possible for me to figure out the diameter or circumference of the circle? Thank you in advance for your help. ❤️

[@baihasmina.canapia7293]

It is possible to have a equal value of area of sector and segment when they give the same raduis and teta?

[@rishabhchauhan3163]

Yes it is very possible. When the area of triangle is equals to zero, and that happens when we have segment with the largest chord(diameter) and then we got two equal segment that equals to semi circle.

[@AbenezerErketo]

Please sir, teta 3 pi /4 always this teta always use ?

[@khushboopatel6612]

very nice explanation sir.

[@MathematicsTutor]

Thanks

[@dhaneshpatel5510]

Sir also please solve a question with example for better understanding please sir my answer not came with this formula

[@simonkabir3661]

Sir you have quite nicely explained it

[@MathematicsTutor]

Thanks for appreciation. All the Best!

[@vijaylaxmisharma9453]

Thankyou sir

[@CivilCatalogueOfficial]

With out angle how to find

[@priyashukla964]

good teaching skills.

[@MathematicsTutor]

Thanks for appreciation.

[@LtNews-wb5rb]

From where did , area of triangle 1/2 r^2 sin theta came.

[@simonkabir3661]

Actually today i have my boards if class tenth maths examination

[@_pritam_priyanshu8841]

Hi

[@neongamer2588]

Can theta be 90°?

[@jeroends1]

Hello, I love your explanation! I'm trying to do the opposite: I've got a volume (or the area of the segment), the radius and the lenght of a tank, is it possible to calculate the height of the water in the tank?

[@layze4865]

Ok

[@antonyyg7393]

Good ..formula..how we can get formula for depth of segment

[@MathematicsTutor]

Radius of the circle - height of triangle will be the depth of the segment. Thanks

[@divyasharma8372]

Sir, pls tell derivation for angle greater or equal to 90°

[@Cmattalk]

My GOAT

[@MathematicsTutor]

Thanks. Playlist for you: kzbin.info/www/bejne/aqCkepiIfZxlhpY

[@sonalmaheshwari6174]

Very nice explanation, but can I use the formula (r^2 sin(theta))/2 directly in my CBSE class 10 Board exams?

[@MathematicsTutor]

yes, you can

[@ravipatidar4846]

But how we find out angle if we dnt have

[@nikhilbaranwal1130]

It is actually given in question or otherwise there is a hint regarding angle.

[@vanshitasolanki5528]

Thank u sir but I don't know that formulla for sin2A

[@MathematicsTutor]

sin2A = 2sinAcosA: This video after 3 min shows the derivation. kzbin.info/www/bejne/Y5y3gX9tityfppY Hope that helps Thanks

[@raghavendradasadi2194]

Can you also explain, how to find the centroid of major and minor segment of the circle and then the moment of inertia Ixx & Iyy of the major segment of the circle

[@MathematicsTutor]

We will restrict to basic High School Mathematics. You may join our WhatsUp group for these solutions. Here is the link: chat.whatsapp.com/K4aSzPivDP4Kp9chJ8HyNl Thanks

[@medhaalwis8726]

Thank you

[@amrits787]

The reason not to simplify in the last?

[@MathematicsTutor]

Yes, it requires few concepts to sink in. Thanks for sharing

[@amrits787]

Anil Kumar may I please know those concepts plz ?

[@MathematicsTutor]

Sure. As explained You need to find the difference in the area of the Sector and the Area of the Triangle to get the area of the Segment. Both area have been derived and in the end their difference is written as the area of the Segment. Hope that helps. Thanks and feel free to post questions.

[@amrits787]

Anil Kumar thanks

[@noxone6609]

Awesome explanation. Thanks for the help.

[@MathematicsTutor]

Thanks for appreciation and your time. All the Best!

[@mohammadahmed7932]

what will the formula for steel calculation for hemisphere (Dome) .thanks

[@MathematicsTutor]

Surface area of hemi-sphere. Check Q4 in this video: kzbin.info/www/bejne/rYGzaKGImcx9p5o

[@educationandemotion4204]

must visit at least once : #EducationNext

[@qiyanarts7392]

thanks sir

[@MathematicsTutor]

Thanks for appreciation and your time.

[@kettyking933]

1/2r²(0°) 1/2r²(sin0°)

[@ibrahimsandy4097]

Sir, I want to have a topic to topic of your site sir. Your explanation is explicit and succinct. Please help with that..

[@shwetasingh7]

thank you sir , awesome concept

[@MathematicsTutor]

Thanks. Here is related test question: kzbin.info/www/bejne/aqCkepiIfZxlhpY

[@viraatengineer7763]

yupp

[@chiclust]

1/2 r square sinQ

[@superkidsmidbrainactivatio2893]

your accent is like sam bahadur

[@DileepPatel-p5e]

Wrong calculation... One pi is for 22/7 and other pi is for 180 degree ... Than how can u Cancel it...

[@imtiazbhao2133]

sir you make very long calculation can not make it short

[@MathematicsTutor]

This was a derivation of the formula. Are you looking for multiple choice Fast solution TRICKs. We have many videos on that.

[@digvijayparajapti5131]

Answer would be 115.74

[@DeepakSharma-vi4gh]

No

[@ManojKumar-vm7ow]

Can you talk to in Hindi because it is inda bre

[@MathematicsTutor]

This is Internet a Global Service and not India. Fortunately, I have studied in New Delhi. Most school there were English medium. Almost all the Institutes/Universities including IIT's in India teach Mathematics in English. From where do you come from?

[@teamblack9600]

Sir please do not use the calculator for solutions

[@MathematicsTutor]

Thanks. I will start a new series where how to find solution without calculator will also be discussed. Already there are few, but clearly we need many more topics to cover. I will start that series from here only -- Area of Segment. Note: These days, for most of my students, calculations without calculator is very difficult. It is very important to connect with the students to get the concept through. Using Calculator helps me to do so. Thanks for your time and valuable suggestion

[@bishaldebbarma9189]

Sir I am use theta/ 360×πr^2 .Is there any problems

[@ddthummar9176]

No but this formula is only for sector

[@bishaldebbarma9189]

@@ddthummar9176 ok thanks

[@ddthummar9176]

@@bishaldebbarma9189 it's my pleasure bro

[@bishaldebbarma9189]

@@ddthummar9176 which class r u from

[@ramchauchan9489]

shankaracharya

[@DileepPatel-p5e]

U cancelled pi with pi.... that is wrong calculation....

[@abhayjitthind6420]

Why would that be wrong 😂

[@Lilhooch]

😂😂😂😂😂

[@DileepPatel-p5e]

Because both have different value.. one is 22/ 7 and othe is 90 degree...

[@Piyush_official6]

207555

[@arjuns5895]

🤮🤮🤮🤮

[@NARESHKUMAR-uo8pw]

Bakbas

[@educationandemotion4204]

To get better solution must visit : #EducationNext

[@susantakhamari7921]

Thanks sir