Question

The perimeter of a sector is 4times the radius of it.find the area of sector...

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Answer 1

Answer:

Perimeter of sector = 4r

2r + x/360° (2πr) = 4r

x/360° (2πr) = 2r

xπ/360° = 1 --------------------1

Area of sector = x/360° (πr^2)

= (xπ/360°) r^2

= r^2 (from equation 1)

Final Answer,

Area of sector = square of radius, i.e. r^2

HOPE IT HELPS!