1.

Find the area of the seciul24. The radius of a circle is 17.5 cm. Find the area of the sectpr enclosed bytwo radii and an arc 44 cm in length.

Answer»

Here arc length; Cs =44 cmRadius of a circle; r = 17.5 cmSo, area of sector = Cs/2πr×πr2

=44/2π×17.5×π×(17.5)(17.5)=22×17.5=385 cm sq.

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C = 2 π x 17•5 cm = 109•9 cm109•9 cm ____360⁰44 cm_____[44/109•9 ] x 360⁰ = 144•1⁰Angle at centre of arc = 144•1⁰

Area of circle = π x 17•5² cm² = 962•1 cm²

Area of sector = [ 144•1⁰ / 360⁰] x 962•1 cm²Area of sector = 385•1 cm²



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