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Area of a Sector of a Circle

The radius of...

Question

The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.

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Solution

Here arc length; Cs =44 cm
Radius of a circle; r = 17.5 cm
So, 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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