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
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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