Question

Find the circumference of the circle.
10 mi
Question content area bottom
Part 1
The circumference is
  
10 pi mi.
​(Type an exact answer in terms of pi​.)

Answer 1

To find the circumference \( C \) of a circle, you can use the formula:

\[
C = 2\pi r
\]

where \( r \) is the radius of the circle.

You've stated the circumference as \( 10 \) miles, which is an approximate value. Assuming that the \( 10 \) mi refers to the diameter, we can determine the radius. The diameter \( d \) is \( 10 \) miles, so the radius \( r \) would be:

\[
r = \frac{d}{2} = \frac{10}{2} = 5 \text{ mi}
\]

Now, we can calculate the exact circumference using the radius:

\[
C = 2\pi \times 5
\]
\[
C = 10\pi \text{ mi}
\]

So, in terms of \( \pi \), the exact answer for the circumference of the circle is:

\[
\boxed{10\pi \text{ mi}}
\]