Question

The perimeter of a sector of the circle of area 25π sq.cm is 20 cm. Find the area of sector.

Answer 1

Area of circle = πr² 

But area is given to be 25π sq.cm. 

∴ 25π = πr² 

∴ r² = 25 

∴ r = 5 cm

Perimeter of sector = 2r + S 

But perimeter is given to be 20 cm.

∴ 20 = 2(5) + S 

∴ 20 = 10 + S 

∴ S = 10 cm

Area of sector = 1/2 x r x S

= 1/2 x 5 x 10

= 25sq.cm.

Answer 2

50cm is the answer

Answer 3

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