A circle has a radius of 20 inches.  What measurement is the closest to the circumference of the circle in inches? Round answer to nearest hundredth.

To find the circumference of a circle, we use the formula:

\[
C = 2\pi r
\]

where \( C \) is the circumference and \( r \) is the radius. In this case, the radius \( r \) is given as 20 inches.

Substituting the value of the radius into the formula:

\[
C = 2\pi \times 20
\]

\[
C = 40\pi
\]

Now, using the approximation \( \pi \approx 3.1416 \), we can calculate the circumference:

\[
C \approx 40 \times 3.1416
\]

\[
C \approx 125.664
\]

Rounding to the nearest hundredth:

\[
C \approx 125.66 \text{ inches}
\]

The closest measurement to the circumference of the circle is **125.66 inches**.

Would you like more details or have any questions about this calculation?

Here are some related questions to explore:

1. What is the area of a circle with a radius of 20 inches?
2. How does the circumference change if the radius is doubled?
3. What is the circumference of a circle with a radius of 15 inches?
4. If the circumference of a circle is 100 inches, what is the radius?
5. How do you derive the formula for the circumference of a circle?

**Tip:** The circumference of a circle is directly proportional to its radius. Doubling the radius will double the circumference.

Learn how to calculate the circumference of a circle with a radius of 20 inches using the circumference formula. Step-by-step solution rounded to the nearest hundredth. Suitable for 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