Question

Find the probability that a randomlyselected point within the circle fallsin the red shaded area (square).r = 4 cm4.2 cm[? ]%Round to the nearest tenth of a percent.

Answer 1

First, we need to find the area of the circle

`A_C=\pi r^2=\pi\left(4\right)^2=50.3\text{ }cm^2`

Then we calculate the area of the square

`A_S=s^2=\left(4√(2)\right)^2=32\text{ }cm^2`

If 50.3 cm^2 is 100% what percentage represents 32 cm^2

`(32\left(100\right))/(50.27)=63.6\text{ \%}`

ANSWER

The probability is 63.6 %