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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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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