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?0.456 0.683 0.785 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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