Areas Related to Circles · Class 10 · CBSE Mathematics

Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60^circ. Use pi = frac{22}{7}.

Practice question from Areas Related to Circles (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · Subjective · Q-C9AB6D

Find the area of a sector of a circle with radius 6 cm if angle of the sector is $60^\circ$ . Use $\pi = \frac{22}{7}$ .

Answer: The area of a sector is given by the formula

\frac{\theta}{360^\circ} \times \pi r^2

. Substituting

\theta = 60^\circ

and

r = 6

cm, we get

\frac{60^\circ}{360^\circ} \times \frac{22}{7} \times 6^2 = \frac{1}{6} \times \frac{22}{7} \times 36 = \frac{132}{7}\text{ cm}^2

or approximately

18.86\text{ cm}^2

Solution

Substitute the given values into the sector area formula: $\text{Area} = \frac{60}{360} \times \frac{22}{7} \times 6^2 = \frac{132}{7}\text{ cm}^2$ .

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