Carter needs to remove sod in his yard to build three flower beds. One bed will be a rectangle which measures 2.5 m by 6 m. Another bed will be a semicircle which has a diameter of 6 m. The other bed will be a quarter circle with a radius of 4 m.

Step-by-step explanation:

Given

Rectangle:

Semicircle

Quarter circle

Required

The square meters of sod will Carter remove [Missing information]

To do this, we simply calculate the area of each flower beds.

For the rectangle:

For the semicircle

Where

So:

For the quarter circle

Total area is:

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

the answer is $42.96

step-by-step explanation: