50 points-
find the probability that a randomly selected point within the circle falls in the white area.

0.68

Step-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^2

area of grey triangle = (1/2)bh

The 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^2

white area = area of circle - grey area = 50.265 cm^2 - 16 cm^2 = 34.265 cm^2

p(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

215.92 dollars is the answer