🎓 Mathematics • Geometry
100% Client-Side Privacy
Circle Calculator
Comprehensive circle geometry solver computing diameter, circumference, area, sector area, and arc length.
Geometry & Trigonometry Engine
Geometry, Area & Volume Studio
Solve triangles with Heron's formula and Law of Cosines, calculate circle sector arcs, compute 2D planar areas, 3D volumes, and exact Pythagorean radicals.
Circle Dimensions
Examples:
Circle Properties
Total Area (πr²)153.938
Circumference (2πr)43.982
Sector Area (60°)25.656
Arc Length (L)7.33
What is Circle Geometry?
A circle is the set of all points in a plane equidistant from a center point.
The ratio of circumference to diameter is the universal constant π (pi ≈ 3.14159).
Formula & Step-by-Step Calculation
A = πr², C = 2πr = πd
Classic formulas for circular perimeter and enclosed area.
Worked Step-by-Step Examples
Example 1
Find area of circle with radius 10
Solution: 314.16
• π × 10² = 100π ≈ 314.16
Common Real-World & Academic Use Cases
- ✓ Piping flow area
- ✓ Wheel rotation distance
- ✓ Circular lawn landscaping
How to Use the Circle Calculator
1
Input Radius
Enter radius length.
2
Inspect Geometry
View circumference, area, and diameter.
Frequently Asked Questions
Q: What is a circular sector?
A pie-shaped slice enclosed by two radii and an arc.