Question

The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.

What is the probability that a point chosen at random will be in the shaded region? Round the answer to two decimal places.
0.25
0.33
0.66
0.75

Answer 1

A. 0.25

Explanation:

Answer 2

From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:

The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle

So,
Probability = 78.5/314 = 0.25

Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region.