Exams › SSC CGL (Prelims) › General

One sector of a circle subtends a central angle of 150 degrees with radius 10 cm. A second sector of the same circle subtends a central angle of 5*pi/6 radians. What is the ratio of the first sector's area to the second's?

1. 3 : 4
2. 1 : 1
3. 4 : 5
4. 5 : 6

Correct answer: 1 : 1

Solution

5*pi/6 radians = 150 degrees, which equals the first sector's angle, and both sectors share the same radius. Equal angle and equal radius mean equal areas, so the ratio is 1 : 1.

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