Circle Calculator
Calculate area, circumference, diameter and other properties of a circle with our easy-to-use calculator.
Understanding Circle Properties
Our Circle Calculator allows you to quickly find all the key properties of a circle based on just one measurement. This tool is perfect for students, engineers, designers, and anyone working with circular shapes.
Key Circle Formulas
- Radius (r): The distance from the center of the circle to any point on its circumference.
- Diameter (d): d = 2r - The distance across the circle passing through the center.
- Circumference (C): C = 2πr = πd - The total distance around the circle.
- Area (A): A = πr² - The total space enclosed by the circle.
Applications of Circle Properties:
In Mathematics:
- Geometry calculations
- Trigonometry
- Calculus applications
- Pi (π) approximations
- Coordinate geometry
In Real-World Applications:
- Engineering designs
- Architecture planning
- Construction projects
- Manufacturing
- Land surveying
How to Use the Calculator:
- Select the type of measurement you know (radius, diameter, circumference, or area)
- Enter the value of your known measurement
- Choose the appropriate unit of measurement
- Select your preferred decimal precision
- Choose the Pi (π) value approximation you want to use
- Click "Calculate Circle Properties" to see all results
Advanced Circle Concepts
Beyond the basic properties, circles have many interesting properties:
- Sectors and Segments: Parts of a circle formed by arcs and chords
- Central Angles: Angles formed at the center of a circle
- Inscribed Angles: Angles formed by two chords that meet on the circle
- Tangent Lines: Lines that touch the circle at exactly one point
- Circle Theorems: Various geometric principles relating to circles