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
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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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