Class 10 · Mathematics · Mathematics

11. Areas Related to Circles

Try question 1

The area of a sector of angle θ (in degrees) of a circle of radius r is

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Answer and explanation

Answer: A. (θ/360) × πr²

A sector is θ/360 of the whole circle's area πr².

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Try question 2

A segment of a circle is the region between

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Answer and explanation

Answer: D. a chord and its arc

A segment is bounded by a chord and the arc it cuts off; two radii and an arc form a sector.

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Try question 3

The length of an arc of angle 60° in a circle of radius 21 cm is (π = 22/7)

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Answer and explanation

Answer: B. 22 cm

(60/360) × 2 × (22/7) × 21 = (1/6) × 132 = 22 cm.

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