The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°, find the area of the sector in case. - Geometry Mathematics 2

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Sum

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°,  find the area of the sector in case.

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Solution

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

 Measure of arc (θ) = 210°

∴ Area of the sector = `"θ"/360 × πr^2`

`= 210/360 × 22/7 × (7)^2`

`= 7/12 × 22 × 7`

`= 7/6 × 11 × 7`

= 89.83 cm2

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Chapter 7: Mensuration - Practice set 7.3 [Page 155]

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Balbharati Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board
Chapter 7 Mensuration
Practice set 7.3 | Q 10.2 | Page 155

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