# Finding the Diameter from the Area(KS3, Year 7)

## The Lesson

The diameter of a circle is found from the area of a circle using the formula: 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? # 1

Start with the formula:
Diameter = 2√ (Aπ)
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 = √ (50π) Diameter = √ (50 ÷ π) Diameter = √ (50 ÷ 3.14) Diameter = √ 16 cm Diameter = 4 cm

## Answer:

The diameter of the circle is 4 cm.

## Lesson Slides

The slider below shows another real example of how to find the diameter of a circle from the area. Open the slider in a new tab

## 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.
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## See Also

What is the diameter? What is a circle? Finding the area of a circle Finding the area of a circle using the diameter Find the diameter from the area of a circle ( interactive widget)