3D Geometry Support
Step-by-Step Proofs
Circle & Sphere Solver:
Accurate AI Solutions
Calculate area, circumference, and volume instantly. Supports complex 3D sphere geometry and partial sectors.
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Formula Preview
$$ A = \pi r^2 $$
Circle Formulas Table
| Property | Formula |
|---|---|
| Area | $$ A = \pi r^2 $$ |
| Circumference | $$ C = 2\pi r $$ |
| Sphere Volume | $$ V = \frac{4}{3}\pi r^3 $$ |
| Sector Area | $$ A = \frac{\theta}{360} \pi r^2 $$ |
How to Calculate Circle Properties
- Identify the Radius: Determine the distance from the center to the edge ($r$). If you have the diameter ($d$), divide by 2 ($r = d/2$).
- Select the Formula: Choose Area ($ \pi r^2 $) for surface coverage or Circumference ($ 2\pi r $) for perimeter length.
- Substitute and Solve: Plug your radius value into the formula. Use $\pi \approx 3.14159$.
- Check Units: Ensure your final answer is in squared units for Area ($cm^2$) or cubed units for Volume ($cm^3$).
Frequently Asked Questions
What is the value of Pi (π)?
Pi (π) is an irrational number representing the ratio of a circle’s circumference to its diameter. For most calculations, we use the approximation 3.14159.
What is the difference between a Circle and a Sphere?
A circle is a 2-dimensional shape (like a pancake) defined by a radius from a center point. A sphere is a 3-dimensional object (like a basketball) where every point on the surface is equidistant from the center.