Exams › SSC CGL (Prelims) › General

Find the area of a sector of a circle whose radius is 9 cm and whose central angle is 80 degrees.

1. 18 pi cm^2
2. 27 pi cm^2
3. 36 pi/5 cm^2
4. 72 pi/5 cm^2

Correct answer: 18 pi cm^2

Solution

Sector area = (80/360) x pi x 9^2 = (2/9) x 81 pi = 18 pi cm^2. The fraction 80/360 reduces to 2/9 and multiplies the full area 81 pi to give 18 pi.

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