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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 

  Is there an error in this question or solution?
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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. Concept: Perimeter and Area of a Circle.
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