Question

A point is randomly chosen in the diagram shown below. What is the likelihood that a point chosen inside the square will also be inside the circle?

Answer 1

78.54% your welcome

Answer 2

Side of the square: s
Area of the square: As=s^2

Diameter of the circle: d=s
Area of the circle: Ac=pi d^2/4
Ac=pi s^2/4; pi=3.1416
Ac=3.1416 s^2/4
Ac=0.7854 s^2

The likelihood that a point chosen inside the square will also be inside the circle: P=?
P=Ac/As=0.7854 s^2 / s^2
P=0.7854
P=0.7854 * 100%
P=78.54%

The likelihood that a point chosen inside the square will also be inside the circle is 0.7854 or 78.54%