Question

Radius of sector is 14 cm and sector anglenis 90 degree find area of major sector

Answer 1

Step-by-step explanation:

Given the radius of a circle is 14  cm and a minor segment of the central angle is also 60  

∘

.

We know that area of segment =πr  

2

(  

360

c

​

) (where c is the central angle of segment and r is a radius of the circle)

Then area of minor segment =  

7

22

​

×(14)  

2

×  

360

60

​

=  

6

22×2×14

​

=102.67cm  

2

 

We know that the total area of circle =πr  

2

=  

7

22

​

(14)  

2

=22×2×14=616cm  

2

 

Then area of major arc =616−102.67=513.33cm  

2