Question

The diameter of a circle is 3 1/2
inches. What is the circumference of the circle

Answer 1

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

\[
C = \pi d
\]

where \( C \) is the circumference and \( d \) is the diameter.

The diameter given is \( 3 \frac{1}{2} \) inches, which can be converted to an improper fraction:

\[
3 \frac{1}{2} = \frac{7}{2} \text{ inches}
\]

Now substitute the diameter into the formula for the circumference.

\[
C = \pi \left(\frac{7}{2}\right) = \frac{7\pi}{2} \text{ inches}
\]

To get a numerical approximation, you can use \( \pi \approx 3.14 \):

\[
C \approx \frac{7 \times 3.14}{2} \approx \frac{21.98}{2} \approx 10.99 \text{ inches}
\]

So the circumference of the circle is approximately \( 10.99 \) inches or exactly \( \frac{7\pi}{2} \) inches.