Circle
Calculator

Calculate circle properties — radius, diameter, circumference, and area — from any single known value, with arc length and sector area.

Solve From

Arc Angle

deg
dr

Circle Properties

Radius
5
Diameter
10
Circumference
31.4159
Area
78.5398

Formulas

d = 2r

C = 2πr

A = πr²

Arc = (θ/360) × 2πr

Sector = (θ/360) × πr²

Arc & Sector

Arc Length
7.854
Sector Area
19.635

Learn more

What makes pi so special, and why is it irrational?

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Frequently Asked Questions

Circumference equals pi times the diameter (C = pi * d), or equivalently 2 times pi times the radius (C = 2 * pi * r). For a circle with radius 5, the circumference is approximately 31.42.

Pi is a mathematical constant approximately equal to 3.14159. It represents the ratio of a circle circumference to its diameter and is the same for every circle regardless of size.

Divide the diameter by 2 to get the radius, then use the formula A = pi * r^2. For a circle with diameter 10, the radius is 5 and the area is approximately 78.54 square units.

Circle Calculator - Radius, Diameter, Circumference, Area | ToolsCanvas