Math Problem Statement

What is the circumference

What is the circumference of a circle with a radius of 5 inches?

Solution

The image shows a circle with a radius of 5 inches. To calculate the circumference of a circle, we use the formula:

C=2πrC = 2 \pi r

where:

  • CC is the circumference,
  • π\pi is approximately 3.1416,
  • rr is the radius of the circle (which is given as 5 inches).

Substituting the value of rr:

C=2×3.1416×5=31.416 inchesC = 2 \times 3.1416 \times 5 = 31.416 \text{ inches}

Thus, the circumference of the circle is approximately 31.42 inches.

Would you like more details, or do you have any further questions?

Here are five related questions to expand your understanding:

  1. What is the area of this circle?
  2. How would the circumference change if the radius were doubled?
  3. How can we calculate the diameter using the radius?
  4. What is the relationship between the diameter and circumference?
  5. How does the circumference change if the radius is reduced by half?

Tip: Always ensure to use consistent units in your calculations, especially in geometry problems like this one where length units are crucial.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

Circumference formula: C = 2πr

Theorems

Properties of circles
Circumference theorem

Suitable Grade Level

Grades 6-8