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

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. 

Think of it as five or above give it a shove. change the 5 or above to the right to a zero and add one to the number on the left.