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 cm2
Solution : Given: The radius of the circle, $r$ = 5 cm Sector is with an angle, $\theta$ = 60° Area of the sector = $\pi r^2× \frac{\theta}{360^{\circ}}=\frac{22}{7}×5^2× \frac{60}{360}=13.09 ≈13.1$ cm2 Hence, the correct answer is 13.1 cm2.
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Question : Find the area of the sector of a circle with a radius of 4 cm containing an angle of 30°.
Option 1: 7.186 cm2
Option 2: 6.186 cm2
Option 3: 4.186 cm2
Option 4: 5.186 cm2
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
Question : The area of a sector of a circle is 66 cm2 and the angle of the sector is 60°. Find the radius of the circle.
Option 1: $5 \sqrt{15} \mathrm{~cm}$
Option 2: $6 \sqrt{14} \mathrm{~cm}$
Option 3: $7 \sqrt{19} \mathrm{~cm} $
Option 4: $3 \sqrt{14} \mathrm{~cm} $
Question : The area of a sector of a circle is 308 cm2, with the central angle measuring 45°. The radius of the circle is:
Option 1: 14 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 28 cm
Question : The area of a sector of a circle is 110 cm2 and the central angle of the sector is 56°, what is the circle's radius? (Take $\pi=\frac{22}{7}$)
Option 1: 35 cm
Option 2: 20 cm
Option 3: 25 cm
Option 4: 15 cm
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