Q:

-50 Points-Find the probability that a randomly selected point within the circle falls in the white area. ​

Accepted Solution

A:
Answer:0.68Step-by-step explanation:p(white area) = (white area)/(total area of the circle)The white area is the area of the triangle subtracted from the total area of the circle.area of circle = (pi)r^2 = pi * (4 cm)^2 = 16(pi) cm^2 = 50.265 cm^2area of grey triangle = (1/2)bhThe base is a diameter of the circle, so it is twice the radius.The height is a radius.area of grey triangle = (1/2)bh = 0.5 * 8 cm * 4 cm = 16 cm^2white area = area of circle - grey area = 50.265 cm^2 - 16 cm^2 = 34.265 cm^2p(white area) = (white area)/(total area of the circle)p(white area) = (34.265 cm^2)/(50.265 cm^2)p(white area) = 0.68