Circumference of a Circle Calculator

Published on: July 7, 2024
Final Answer: Free Full Steps: Plus

This Circumference of a Circle Calculator helps you find the distance around a circle when the radius is known. It uses the formula C = 2πr, where r is the radius and the answer is written in units. Multiply the radius by to get the circumference. It is a simple way to check answers, understand the circle circumference formula, and practise basic geometry step by step.

Circle labeled r

In the diagram, the radius is labeled r.

Step-by-step method

  1. Identify what is given.
  2. Write the formula.
  3. Substitute the value and calculate the circumference.

Formula:

\(C = 2\pi r\)

Example 1:

\(r = 5\)

Step 1 - Identify what is given.

In this problem: The given radius is \(r = 5\).

\(r = 5\)

Step 2 - Write the formula.

In this problem: Use the circumference formula: \(C = 2\pi r\).

\(C = 2\pi r\)

Step 3 - Substitute the value and calculate the circumference.

In this problem: Substitute \(r = 5\): \(C = 2 \times \pi \times 5 \approx 31.42\).

\(C = 2 \times \pi \times 5 \approx 31.42\)

Final answer:

\(C \approx 31.42\)

Example 2:

\(r = 3.5\)

Step 1 - Identify what is given.

In this problem: The given radius is \(r = 3.5\).

\(r = 3.5\)

Step 2 - Write the formula.

In this problem: Use the circumference formula: \(C = 2\pi r\).

\(C = 2\pi r\)

Step 3 - Substitute the value and calculate the circumference.

In this problem: Substitute \(r = 3.5\): \(C = 2 \times \pi \times 3.5 \approx 21.99\).

\(C = 2 \times \pi \times 3.5 \approx 21.99\)

Final answer:

\(C \approx 21.99\)