Question

What is the area of this composite figure?

Answer 1

Answer:

C.) 7.14 in²

Step-by-step explanation:

The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.

The area of the square can be found by multiplying length times the width:

$2*2=4$

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

A=4in²

Now find the area of the circle using the formula:

$A=\pi r^2$

The radius is half of the diameter, so the radius is 1. Insert values and solve:

$A=\pi *1^2\\\\A=\pi *1\\\\A=\pi$

The area of the circle is equal to π. Add the values together:

$4+\pi =7.14$

The area of the figure is 7.14 in²

:Done