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
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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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