Question : What is the area of the dark (coloured) sector for the figure given below?
Option 1: 8.38
Option 2: 25.28
Option 3: 16.76
Option 4: 18.56
Correct Answer: 16.76
Solution :
Area of coloured sector = $\frac{120}{360}×\pi×r^2$
= $\frac{1}{3}×\frac{22}{7}×4^2$
= $\frac{22}{21}×16$
= 16.76 cm
2
Hence, the correct answer is 16.76.
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