Question

A circular mirror has a diameter of 12 inches. A circular frame that is 3 inches wide surrounds the mirror. What is the combined area, in square inches, of the circular mirror and the frame

Answer 1

Answer:

$176.71$ $in^{2}$

Step-by-step explanation:

The equation to use to find the radius of a circle is $r = \frac{d}{2}$

The equation to use to find the area of a circle is $A = \pi r^{2}$

First, add $3$ inches to the diameter of $12$ inches. You will get $15$ inches.

Second, you will want to find the radius. Substitute $15$ for $d$. Solve to get the radius.

$r = \frac{15}{2}$

$r = 7.5$

The radius is $7.5$ inches.

Next, you substitute $7.5$ for $r$ in the area equation. Solve to get the area.

$A = \pi (7.5)^{2}$

$A = 176.71 in^{2}$