Question

find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.

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Answer 1

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Answer 2

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Given:

For circle,

Radius(r) = 6cm

Angle of sector (theta) = 60°

To find:

Area of sector = ?

Explanation:

$\\ area \: of \: sector \: = \frac{theta}{360} \times \pi \: r {}^{2} \\ \\ = \dfrac{60}{360} \times \dfrac{22}{7} \times (6 ) {}^{2} \\ \\ = \dfrac{1}{6} \times \dfrac{22}{7} \times 36$

$\\ \\ = \dfrac{22}{7} \times 6 \\ \\ = 18.86 \: cm {}^{2}$

Required Answer:

Therefore, the area of sector is 18.86 cm²