A point in the figure is chosen at random. Find the probability that the point lies in the shaded region.

Question

Answer 1

area of the shaded region

= total area - inside area

=pi(R1)^2 - pi(R2)^2 R1 = 14/2 = 7, R2 = 12/2 = 6

= (7^2)pi - (6^2)pi

= 49pi - 36pi

= 13pi

13pi/49pi

= 13/49

= about 26.53% probability of randomly picking a point in the shaded area