The diameter of a circle is 5 inches. What is the area?

d=5 in
Give the exact answer in simplest form
______ Square Inches

1 answer

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:

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