The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of 2 inches.

an unshaded square inside of a large blue square.

what is the probability that a point chosen at random is in the blue region?

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the area of the large square

step 2

Find the area of the smaller white square

step 3

Find the area of the blue region

Subtract the area of the smaller white square from the area of the larger square

step 4

Find the probability

we know that

To find out the probability that a point chosen at random is in the blue region, divided the area of the blue region by the area of the larger square

so

Simplify

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq