Question

Circumference angle is equal to half of it
central
angle standing
on the same are.
prove it​

Answer 1

Circumference of circle = 2πr

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Answer 2

Step-by-step explanation: To prove : ∠APB=90  

∵ We know angle subtended by an arc at centre is double the angle subtended at any point or circumference.

⇒ Angle subtended by arc AB at O= Double the angle subtended at P

⇒∠AOB=2∠APB

∵AOB is a straight line.

⇒∠AOB=180    

⇒2∠APB=180  

⇒∠APB=90  

 ∴ Angle subtended by arc AB or semi circle is 90

 

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