Question

Find the probability that a randomly selected points within a square falls in the blue shaded area (circle)

Answer 1

Answer:

78.8 %

Step-by-step explanation:

From the question,

Area of the square = L²

A = L²

Where L = Length of the square.

From the diagram,

L = 4 in

Therefore,

A = 4²

A = 16 in².

Also,

Area of the circle (A') = πr²

Where r = radius of the circle.

Given: r = 2 in

Therefore,

A' = 22/7(2²)

A = 12.6 in²

Hence,

The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A

Pr = 12.6/16

Pr = 0.7875

Pr(%) = 78.75

Pr(%) = 78.8 %