Question : If the diameter of a circle is 14 cm, find the area of the sector of the circle whose central angle measures $60^{\circ}$.
Option 1: 18.12 cm2
Option 2: 25.66 cm2
Option 3: 38.12 cm2
Option 4: 21.66 cm2
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Correct Answer: 25.66 cm 2
Solution : The diameter of a circle = 14 cm Radius, $r$ = 7 cm Central angle of sector, $\theta$ = $60^{\circ}$ Area of the sector of the circle = $\frac{\theta}{360^{\circ}}× \pi r^2$ = $\frac{60^{\circ}}{360^{\circ}}× \frac{22}{7} × 7^2$ = $\frac{154}{6}$ = 25.66 cm 2 Hence, the correct answer is 25.66 cm 2 .
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