Question

find the area of a sector whose are length is 25π cm and angle of the sector is 60

Answer 1

Heya 

Arc length = 25π cm 
angle  = 60⁰ or π/3

so radius =  r = 25π/π/3
             => r = 75cm
we know area of sector is given by    Ф/360 πr²

so just plug in the values 
we get 
 area of sector =  60/360 × 22/7 × (75)²
                      => 2946.4 cm²
                or      0.294 m²

Answer 2

Given that :

arc of length = 25π

Angle of sector = 60°

First We have find radius

r = 25π/π/3
r = 75

So we know that area of sector = theta/360Πr²

= 60/360× 22/7 × (75)²

= 2946.4 cm²