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The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is (a) 31.2 cm² (b) 15 cm² (c) 15.6 cm² (d) 16.6 cm²

Posted by Swagata Lakshmi Mallik 4 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 11 months ago

Let AOB be the sector with O as center.

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 of sector =1/2 rl

=1/2×5.2×6

=15.6 cm²

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