Question

(9) The perimeter of a sector of the circle

of area 25π sq.cm is 20 cm. Find the

area of sector.​

Answer 1

Answer:

Step-by-step explanation:

since area of circle=25π sq.cm

⇒πr^2  =25π

⇒r=5cm

and perimeter of sector=20 cm

⇒2r+s=20

⇒2.5+s=20

⇒s=10 cm

where s = arc length of sector

s=r x theta

area of sector=1/2 x r^2 x theta

area of sector=1/2 x r x (r  x theta)

area of sector=  1/2 x r x s ( As s=r x theta)

                        =1/2 x 5 x 10

                          =25 sqcm