Area of Circle Formula
The area of a circle is given by the geometric constant (pi) multiplied by the radius of the circle squared.
Formula Terms
| Expression | Description |
|---|---|
| The area of the circle. | |
| The geometric constant (pi), where | |
| The radius of the circle. |
To calculate the area of a circle, multiply the geometric constant (pi) by the radius of the circle squared. For example, the area of a circle with a radius of length is given by:
To calculate the area of the circle, substitute the value of into the formula, approximately , and evaluate the multiplication.
The area of a circle with radius length is approximately units squared.
The area of the circle formula can be derived using calculus[1] or using a visual proof[2].
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Derive Area of Circle Formula
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Area of Circle Visual Proof