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?

• A. 0.785
• B. 0.785
• C. 0.456
• D. 0.683

Answer 1

The correct option is A

0.785

Area of a square of side 7cm = 7 cm $\times$ 7 cm = 49 sq. cm .................... (1)

Area of the circle = π$r^2$​ = ($\frac{22}{7}$) $\times$ $\frac{7}{2}$ $\times$ $\frac{7}{2}$ = $\frac{77}{2}$ sq. cm .................... (2)

P(point lies in the circle) = $\frac{77}{2\times 49}$= 0.785.