Area of a Circle Calculator

Published on: June 30, 2024

This Area of a Circle Calculator helps you find the space inside a circle when the radius is known. It uses the formula A = πr², where r is the radius and the answer is written in square units. First square the radius, then multiply by π to get the area. It is a simple way to check answers, understand the circle area 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 area.

Formula:

A = πr²

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 circle area formula: A = πr².

A=πr²

Step 3 - Substitute the value and calculate the area.

In this problem: Substitute r = 5: A = π × 5² = 78.53981634.

A=π×=78.53981634

Final answer: A = 78.53981634

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 circle area formula: A = πr².

A=πr²

Step 3 - Substitute the value and calculate the area.

In this problem: Substitute r = 3.5: A = π × 3.5² = 38.48451001.

A=π×3.5²=38.48451001

Final answer: A = 38.48451001