Question

perimeter of a sector of the circle of area 25pi sq cm is 20 cm find the area of sector​

Answer 1

Answer:

25  cm²

Explanation:

Area of Circle = 25 π cm²

Area of Circle = πr²

=>  πr² = 25 π

=> r² = 25

=> r = 5

Perimeter of a sector = radius + radius + Arc Length

=  r + r  +  (θ/360)2πr

= 5 + 5 + (θ/360)10π

5 + 5 + (θ/360)10π  =  20

=> (θ/360)10π = 10

=> (θ/360)π = 1

=> θ/360 = 1/π

Area of Sector = (θ/360) πr²  

= (1/π)πr²  

= r²

= 5²

= 25  cm²

Area of Sector = 25  cm²