Question

A square is inscribed in a circle with a diameter of 12 cm. If a point in the circle is chosen at random, what is the probability of picking a point in the shaded region? Round the answer to the nearest hundredth.

A. 0.08
B. 0.36
C. 0.57
D. 0.64

Answer 1

P(shaded) = A of circle - A of square all divided by total outcomes which is A of circle = pi r^2 = pi(6)^2 = 36pi
estimate the sides of the square, 12 minus 4 = 8
A of square = s^2 = 64
P= 64/36pi = 0.56 .Choice C
Hope this helps=)