Asked by ; D

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.

mc021-1.jpg

What is the probability that a point chosen at random is in the blue region?
StartFraction 2 over 157 EndFraction
StartFraction 2 over 155 EndFraction
StartFraction 155 over 159 EndFraction
StartFraction 155 over 157 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Circle area = 314 cm². Square area = 2^2 = 4 cm².
If the blue region is the part of the circle outside the square, its probability = (314 − 4)/314 = 310/314 = 155/157.

Answer: 155/157.