 The circumference of a circle is approximately 56.5 inches. What is the radius of the circle? Use 3.14 for pi. Round to the nearest whole number.

The formula for the circumference of a circle is:

\[
C = 2\pi r
\]

Where:
- \(C\) is the circumference,
- \(\pi\) is approximately 3.14,
- \(r\) is the radius.

Given that the circumference \(C = 56.5\) inches and \(\pi = 3.14\), we can solve for the radius \(r\) as follows:

\[
r = \frac{C}{2\pi}
\]

Substitute the given values:

\[
r = \frac{56.5}{2 \times 3.14}
\]

Now calculate:

\[
r = \frac{56.5}{6.28} \approx 9.0
\]

Therefore, the radius of the circle is approximately **9 inches**.

Would you like more details or further clarifications?

Here are 5 related questions you might find interesting:
1. What would be the area of the circle with this radius?
2. How would the radius change if the circumference were doubled?
3. What is the diameter of the circle based on the calculated radius?
4. How would you calculate the circumference if you were given the radius directly?
5. How does the value of \(\pi\) affect the accuracy of the result?

**Tip:** Always ensure you use consistent units when solving geometric problems involving circles.

The circumference of a circle is approximately 56.5 inches. What is the radius of the circle? Use 3.14 for pi. Round to the nearest whole number.

Learn how to calculate the radius of a circle when given its circumference of 56.5 inches. This step-by-step guide explains how to apply the circumference formula C = 2πr, using 3.14 for pi, and rounding the radius to the nearest whole number. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation