Respuesta :

Answer: The area of the circle is 16π square inches

This is because the diagram shows a circle whose diameter id shown to be 8 inches.

From the formula of the area of a circle given as :

[tex]A\text{ = }\pi\times r^2[/tex]

Where:

r = radius of the circle = one half of the diameter of the circle

Thus:

r = (1/2) * 8 = 4 inches

Input the value of the radius in the formula:

[tex]\begin{gathered} A\text{ = }\pi\times4^2 \\ A=\pi\times16 \\ A\text{ = 16}\pi in^2 \end{gathered}[/tex]

Therefore, the area of the circle is 16π square inches