In this formula, A is the area of the circle. The image below shows what we mean by finding the diameter from the circumference:
How to Find the Diameter from the Area
Finding the diameter from the area is easy.Question
What is the diameter of the circle, with area 50 cm2, below?
Step-by-Step:
1
Start with the formula:
Diameter = 2√ (A⁄π)
Don't forget: √ means square root, / means ÷ and π is pi (≈ 3.14)
2
Substitute the area into the formula. In our example, A = 50.
Diameter = √ (50⁄π)
Diameter = √ (50 ÷ π)
Diameter = √ (50 ÷ 3.14)
Diameter = √ 16 cm
Diameter = 4 cm
Answer:
The diameter of the circle is 4 cm.Interactive Widget
Here is an interactive widget to help you learn about finding the diameter of a circle from its area.Equivalent Formula for Finding the Diameter of a Circle from the Area
An equivalent formula for how to find the diameter of a circle from the area is:
This is equivalent as the square root of 4 is 2.
This page was written by Stephen Clarke.
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