Question : The area of a sector of a circle is 308 cm2, with the central angle measuring 45°. The radius of the circle is:
Option 1: 14 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 28 cm
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Answer (1)
20th Jan, 2024
Correct Answer: 28 cm
Solution :
According to the question,
$\frac{45°}{ 360°} ×πr^2 = 308$
⇒ $πr^2 = 308 × 8$
⇒ $\frac{22}{7} × r^2 = 2464$
⇒ $r^2 = 784$
⇒ $r = 28$ cm
Hence, the correct answer is 28 cm.
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