Question

Given the square, what is the probability randomly choosing a point from the shaded region.

Answer .78
.39
.61
.5

Answer 1

area of shaded region divided by total

Answer 2

square is evidently 64

Answer 3

shaded portion is have a circle with radius 4 and hence has area
\[\frac{1}{2}\pi r^2=\frac{1}{2} 16\pi=8\pi\]

Answer 4

and so answer is
\[\frac{8\pi}{64}=\frac{\pi}{8}\]

Answer 5

That's what I get too, so he is correct

Answer 6

thank you i understand it now

Answer 7

it is a shame that you have to turn this perfectly nice number into a decimal approximation. your answer is .39

Answer 8

Yes