Question

The diameter of a circle is 5 inches. What is the area?
d=5 in
Give the exact answer in simplest form
______ Square Inches

Answer 1

To find the area of a circle, you can use the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle. Since the diameter \( d \) is given as 5 inches, the radius \( r \) is half of the diameter:

\[
r = \frac{d}{2} = \frac{5}{2} = 2.5 \text{ inches}
\]

Now, substitute the radius into the area formula:

\[
A = \pi (2.5)^2
\]

Calculating \( (2.5)^2 \):

\[
(2.5)^2 = 6.25
\]

Now, substitute this back into the area formula:

\[
A = \pi \cdot 6.25
\]

So the area in exact form is:

\[
A = 6.25\pi \text{ square inches}
\]

Thus, the exact answer for the area of the circle is:

\[
\boxed{6.25\pi} \text{ square inches}
\]