Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
[? ]%
Round to the nearest tenth of a percent.
Ento

Find the probability that a randomly selected point within the circle falls in the white area r 4 cm Round to the nearest tenth of a percent Ento class=

Respuesta :

Fine the area of the circle:

Area of a circle = pi x r ^2

Area of the circle = 3.14 x 4^2 = 50.24 square cm

Find the area of the triangle:

Area of triangle = 1/2 x base x height

Area =1/2 x 8 x 4 = 16 square cm

Find the area of the white part by subtracting the area of the triangle from the circle:

50.24 - 16 = 34.24 square cm.

The probability of landing in white is the area of white/ area of circle:

34.24/50.24 = 0.682

Multiply by 100 to get percent:

0.682 x 100 = 68.2%