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
Correct Answer: 4.186 cm 2
Solution :
Radius = 4 cm
Angle = 30°
Area = $\frac{ \theta}{360°}×\pi r^2$
⇒ Area = $\frac{30}{360}×3.14 \times 4^2$
⇒ Area = $3.14 \times \frac{4}{3}$
⇒ Area = $4.186$ cm
2
The area of the sector of a circle with a radius of 4 cm and an angle of 30° is 4.186 cm
2
.
Hence, the correct answer is 4.186 cm
2
.
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