Question

Part 1. Random Events 1. A square has a side of 21 cm and has a circle with radius equal to 7 cm within it. Find the probability of a dart hitting the circle if it hits the square.

Answer 1

7CM 21 CMs

The are of Circle:

$A= \pi *r^2= 3.14*7^2=153.86m^2$ (Here Pi=3.14)

The area of Square:

$A= r^2= 21^2=441m^2$

The probability of hitting the circle: The area of Circle/ The area of square= 153.86/441= 0.348889

The probability of P= 0.348889