To find the area of a circle with a radius of 15 inches and round the answer to the nearest tenth of a square inch, follow these steps:
1. Recalling the formula for the area of a circle:
The area [tex]\( A \)[/tex] of a circle is given by the formula:
[tex]\[
A = \pi \times r^2
\][/tex]
Here, [tex]\( \pi \)[/tex] (pi) is a constant approximately equal to 3.14159, and [tex]\( r \)[/tex] is the radius of the circle.
2. Substitute the given radius into the formula:
The radius [tex]\( r \)[/tex] is given as 15 inches. Substituting [tex]\( r = 15 \)[/tex] into the formula, we have:
[tex]\[
A = \pi \times (15)^2
\][/tex]
3. Calculate the area:
First, calculate [tex]\( (15)^2 \)[/tex]:
[tex]\[
(15)^2 = 225
\][/tex]
Then, multiply by [tex]\( \pi \)[/tex]:
[tex]\[
A = \pi \times 225 \approx 706.8583470577034
\][/tex]
4. Round to the nearest tenth:
The area calculated is approximately 706.8583470577034 square inches. Rounding this to the nearest tenth, we get:
[tex]\[
706.9 \text{ square inches}
\][/tex]
Therefore, the area of the circle with a radius of 15 inches, rounded to the nearest tenth, is [tex]\( 706.9 \)[/tex] square inches.
The correct option is:
[tex]\[ 706.5 \, \text{in}^2 \][/tex]
