High School

The circumference of a circle is [tex]22\pi[/tex] inches. Substitute 3.14 for [tex]\pi[/tex] and express your answer in inches.

Answer :

Sure! Let's solve this problem step-by-step.

1. Understanding the problem: We know the circumference of a circle is given by the formula [tex]\( C = 2 \pi r \)[/tex], where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \)[/tex] is a constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.

2. Given information:
- The circumference of the circle is [tex]\( 22\pi \)[/tex] inches.

3. Substitute [tex]\(\pi\)[/tex] with 3.14:
- We substitute [tex]\(\pi = 3.14\)[/tex] in the expression for the circumference to find the actual measurement in inches.
- [tex]\( C = 22 \times 3.14 \)[/tex].

4. Calculate the circumference:
- Performing the multiplication, we find:
[tex]\[
C = 22 \times 3.14 = 69.08 \text{ inches}
\][/tex]

So, the circumference of the circle, when [tex]\(\pi\)[/tex] is approximated as 3.14, is 69.08 inches. The second part of the answer involves finding the radius using this calculated circumference, if needed.