Question

radius of a circle is 10 cm measure of one of it's arc is 5.3 find the area of the sector
​

Answer 1

Length of an arc subtending an angle θ=  

360

θ

​  

×2πR where R is the radius of the circle.

So, 10=  

360

θ

​  

×2×  

7

22

​  

×5

θ=114.45  

0

 

Area of a sector of a circle of radius 'r' and angle θ=  

360

θ

​  

πr  

2

 

Hence, area of the sector of the circle =  

360

114.45

​  

×  

7

22

​  

×5×5=25cm  

2