Area of a Circle
Area of a Circle
\[A = \pi r^2\]
Variables
A = area (m²)
r = radius (m)
Description
What is this formula?
This formula calculates the area enclosed by a circle using its radius. The area represents the surface contained inside the circular boundary.
When to use it
Use this formula when the radius of a circle is known and the enclosed surface area needs to be determined.
Example
If the radius of a circle is 4 m:
A = π(4)² = 50.265 m²
Applications
- Geometry and mathematics
- Land and floor area calculations
- Engineering and manufacturing
- Circular tank and pipe sizing
- Physics and mechanical design
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