The curved part of this figures is a semicircle.

What is the best approximation for the area of this figure?

a) 28+16.25π units²

b) 14+8.125π units²

c) 28+8.125π units²

d) 14+16.25π units²

Option b: is the area of the figure.

Explanation:

The area of the figure is equal to the area of the triangle plus area of the semicircle.

Area of the triangle:

The formula for area of the triangle is given by

where

and

Substituting the values, we have,

Thus, the area of the triangle is

Area of the semicircle:

The formula for area of the semicircle is given by

We shall determine the radius using the coordinates and

Substituting these coordinates in the equation , we get,

where d is the diameter.

The radius r is given by

Substituting the value of r in the formula , we get,

Thus, the area of the semicircle is

Area of the figure = Area of the triangle + Area of semicircle

Area of the figure =

Thus, the area of the figure is

Hence, Option b is the correct answer.

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step-by-step explanation: