Question

A point in the figure is selected at random. Find the probability that the point will be in the part that is not shaded

A about 10%
B about 33%
C about 25%
D about 20%

Answer 1

I believe the answer is 25% or C). If you flip the half circles around then you get a full circle. When you look at the corners it is about 25%

Answer 2

Answer with Step-by-step explanation:

The figure is in the shape of a square

Let length of square be 2r

The, radius of the semicircles will be r

Area of shaded region i.e. Area of two semicircles=Area of a circle

                                                                                   = πr²

Area of whole figure= area of square=(2r)²

                                                            =4r²

area of region that is not shaded=(2r)²-πr²

                                                     = (4-π)r²

P(point will be in part that is not shaded)

=   area of region not shaded/total area of figure

=    (4-π)/4

= 0.2146

≈ 20%

Hence, the correct option is:

D about 20%