Question

The perimeter of a sector of a circle of radius 5.2 cm is
16.4 cm. Find the area of the sector.
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Answer 1

Let AOB be the sector with O as centre.

Given radius = r = 5.2 cm

perimeter of sector =16.4 cm

so, OA + AB + OB =16.4

5.2 + 5.2 + AB =16.4

AB = 6 cm

Area sector = 1/2 rl

⇒1\2×5.2×6

⇒15.6 CM²