Great Circle Area
Great Circle Area
\[A=\pi r^2\]
Variables
A = great circle area
r = sphere radius
Description
What is this formula?
This formula calculates the area of the great circle of a sphere. The great circle is the largest possible circular cross-section that passes through the center of the sphere.
When to use it
Use this formula when calculating the maximum circular cross-sectional area of a sphere or spherical object.
Example
If the radius of the sphere is 4 m:
A = π(4)^2
A ≈ 50.27 m²
Applications
- Geometry and mathematics
- Cross-sectional area calculations
- Astronomy and planetary science
- Mechanical engineering
- Fluid dynamics
- Spherical tank analysis
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