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ExamsSSC CGL (Prelims)General

Sector A has a radius of 4 cm and an angle of 60°. Sector B has a radius of 8 cm and an angle of 15°. Find the ratio of the area of Sector A to Sector B.

  1. 1:1
  2. 2:1
  3. 1:2
  4. 3:4

Correct answer: 1:1

Solution

The area of a sector is proportional to r^2\theta. For Sector A, 4^2 × 60 = 960, and for Sector B, 8^2 × 15 = 960, so the areas are equal.

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