Question : Find the area of a circle whose radius is equal to the side of a square whose perimeter is 196 m.
Option 1: 7457 m2
Option 2: 7546 m2
Option 3: 6477 m2
Option 4: 8844 m2
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Correct Answer: 7546 m 2
Solution :
Given:
The perimeter of the square = 196 m
Perimeter of a square = 4 $×$ side
⇒ 196 = 4 × side
⇒ side = $\frac{196}{4}$ = 49 m
Now, Area of the circle = $\pi ×$ radius
2
⇒ Area of the circle = $\pi ×$ (49)
2
⇒ Area of the circle = 2401 $× \frac{22}{7}$ = 7546 m
2
Hence, the correct answer is 7546 cm
2
.
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