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# The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is three right angles, find the area of the sector in each case. - Mathematics

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#### Question

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is three right angles, find the area of the sector in each case.

#### Solution

The radius of the sector of the circle, r = 7 cm

Measure of arc (θ) = 3 right angle

= 3 × 90° = 270°

∴ Area of the sector = theta/360 xx pi"r"^2

= 270/360 xx 22/7 xx (7)^2

= 3/4 xx 22 xx 7

= 115.50 cm2

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