Question

GEOMETRIC PROBABILITY AID?

Answer 1

Find the area of small and large circles:

`image`.

The area of the shaded region is

`A_(shaded)=A_(large)-A_(small)=64.1601-16.1604=47.9997`.

Use the geometric probability to determine the probability that randomly selected point will be in the shaded region:

`Pr=(A_(shaded))/(A_(large)) =(47.9997)/(64.1601) =0.7481`.

In percent 0.7481 is 74.81% and rounded to the nearest tenth is 74.8%.

Answer: 74.8%.