Question : The circumference of a circle is 132 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 1380 cm2
Option 2: 1322 cm2
Option 3: 1086 cm2
Option 4: 1386 cm2
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Correct Answer: 1386 cm 2
Solution :
Given: The circumference of a circle is 132 cm.
Let the radius of the circle = $r$ cm
We know,
The circumference of a circle = $2\pi r$
Here, $2\pi r =132$
$⇒2×\frac{22}{7}×r=132$
$⇒r=132×\frac{1}{2}×\frac{7}{22}$
$⇒r=21$ cm
Now, the area of the circle = $\pi r^2$
= $\frac{22}{7}×21×21$
= $1386$ cm
2
Hence, the correct answer is 1386 cm
2
.
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