Question : The area of a circle is 2464 cm2. What is the diameter of this circle?
[Use $\pi=\frac{22}{7}$]
Option 1: 56 cm
Option 2: 24 cm
Option 3: 48 cm
Option 4: 28 cm
Correct Answer: 56 cm
Solution :
The area of a circle, where r is the radius of the circle.
Area = $\pi r^2$
$⇒r = \sqrt{\frac{\text{Area}}{\pi}}$
$⇒r = \sqrt{\frac{2464}{\frac{22}{7}}} = 28 \text{ cm}$
The diameter of the circle is twice the radius.
$\text{Diameter} = 2r = 2 \times 28 = 56 \text{ cm}$
Hence, the correct answer is 56 cm.
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