Question : Find the area of the sector of a circle with a radius of 5 cm and an angle of 60° (rounded off to one decimal).
Option 1: 12.8 cm2
Option 2: 14.1 cm2
Option 3: 13.1 cm2
Option 4: 15.1 cm2
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Correct Answer: 13.1 cm 2
Solution :
Given:
The radius of the circle, $r$ = 5 cm
Sector is with an angle, $\theta$ = 60°
Area of the sector = $\pi r^2× \frac{\theta}{360^{\circ}}=\frac{22}{7}×5^2× \frac{60}{360}=13.09 ≈13.1$ cm
2
Hence, the correct answer is 13.1 cm
2
.
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