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Area of a Circle

The area of a circle is πr², where r is the radius. Learn the formula, what each part means, and how to find the area from the radius or diameter.

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The formula

A circle's area grows with the square of its radius. The formula A = πr² says: square the distance from the center to the edge, then multiply by π.

Radius and diameter

The radius runs from the center to the edge; the diameter crosses the whole circle through the center and is twice the radius. Knowing either one is enough to find the area.

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Frequently asked questions

1

What is the area of a circle formula?

The area of a circle is A = πr², where r is the radius. Square the radius and multiply by π (about 3.14159).

2

How do I find the area if I only know the diameter?

If you know the diameter instead, halve it to get the radius (r = d/2), then apply A = πr². You can also write it as A = π(d/2)².

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