Question

The sector has radius 7 cm and makes an angle of 90 degrees, then the perimeter is

Answer 1

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Area of sector = 90πr^2/360

= 90 × 22/7 × 7 × 7 /360

= 22×7/4

= 38.5cm^2


Area of sector = 1/2 × r × l

38.5 = 1/2 × 7 × l

l = 11


Perimeter of sector = 2(r) + l

= 2(7) + 11

= 14 + 11

= 25 cm

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