Exams › SSC CGL (Prelims) › General

The area of a sector is 308 cm^2 and the central angle is 45 degrees. What is the radius of the circle? (Use pi = 22/7)

1. 14 cm
2. 21 cm
3. 7 cm
4. 28 cm

Correct answer: 28 cm

Solution

Area of sector = (45/360) * (22/7) * r^2 = 308. Simplifying: (1/8) * (22/7) * r^2 = 308, so r^2 = 308 * 8 * 7 / 22 = 784, giving r = 28 cm.

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