Question : A sector of a circle of radius 10 cm is formed at a 60° angle at the centre. What will be its area $($take $\pi=3.14)?$
Option 1: 52.33 cm2
Option 2: 75.28 cm2
Option 3: 60.67 cm2
Option 4: 55.00 cm2
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Correct Answer: 52.33 cm 2
Solution : Given: The radius of the circle is 10 cm. Sector is with an angle, $\theta$ = 60°. Area of the sector = $\pi r^2× \frac{\theta}{360°}$ = $3.14×10^2× \frac{60°}{360°}$ = 52.33 cm 2 So, the area of the sector is 52.33 cm 2 . Hence, the correct answer is 52.33 cm 2 .
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