Question

aFind the probability that a randomlyselected point within the circle fallsin the white area.r= 4 cm[? ]%Round to the nearest tenth of a nercent

Answer 1

In order to find the probability, first we need to calculate the triangle area and the circle area.

The triangle has a base of 8 cm and a height of 4 cm, so its area is:

`A_t=(8\cdot4)/(2)=4\cdot4=16\text{ cm}^2`

The circle has a radius of 4 cm, so:

`A_c=\pi r^2=3.1416\cdot4^2=50.2656`

Now, to find the probability, we divide the white area (circle minus triangle) by the total area (circle):

`P=(A_c-A_t)/(A_c)=(50.2656-16)/(50.2656)=(34.2656)/(50.2656)=0.68169`

Rounding to the nearest tenth of a percent, we have a probability of 68.2%.