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Question

Consider a circle of diameter 7 cm which is confined in a square of the side 7cm. A point is chosen at random in the plane of the square. What is the probability that the chosen point lies in the circle?


  1. 0.456

  2. 0.683

  3. 0.785

  4. 0.785


Solution

The correct option is D

0.785


Area of a square of side 7cm = 7 cm × 7 cm = 49 sq. cm  .................... (1)

Area of the circle = πr2 = (227) × 72 × 72 = 772 sq. cm .................... (2)

P(point lies in the circle) = 772×49= 0.785.

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