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Circle Calculator | Calculate Circle Properties

Circle Calculator

Calculate the area, circumference, diameter, and radius of any circle with our easy-to-use calculator.

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Circle Calculator

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Calculating circle properties…

Calculation Results

Radius
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Diameter
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Circumference
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Area
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Circle Visualization

Circle Formulas

Diameter Formula
d = 2 × r
Where d is diameter and r is radius
Circumference Formula
C = 2 × π × r
Where C is circumference, r is radius, and π (pi) is approximately 3.14159
Area Formula
A = π × r²
Where A is area, r is radius, and π (pi) is approximately 3.14159
Radius from Diameter
r = d ÷ 2
Where r is radius and d is diameter
Radius from Circumference
r = C ÷ (2 × π)
Where r is radius, C is circumference, and π (pi) is approximately 3.14159
Radius from Area
r = √(A ÷ π)
Where r is radius, A is area, and π (pi) is approximately 3.14159

Frequently Asked Questions

What is a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center. The distance between any point of the circle and the center is called the radius. Circles are simple closed curves that divide the plane into two regions: the interior and the exterior.

What is the difference between radius and diameter?

The radius is the distance from the center of the circle to any point on its circumference. The diameter is the distance across the circle passing through the center, connecting two points on the circumference. The diameter is always twice the length of the radius (d = 2r).

What is Pi (Ï€)?

Pi (Ï€) is a mathematical constant representing the ratio of a circle’s circumference to its diameter. It is an irrational number, meaning it has an infinite number of decimal places without repeating. The value of pi is approximately 3.14159, but it is often rounded to 3.14 for simple calculations.

How do I calculate the area of a circle?

The area of a circle is calculated using the formula A = π × r², where A is the area and r is the radius. First, square the radius (multiply it by itself), then multiply the result by pi (approximately 3.14159). Our circle calculator can do this calculation for you automatically.

How do I calculate the circumference of a circle?

The circumference of a circle is calculated using the formula C = 2 × π × r, where C is the circumference and r is the radius. Multiply the radius by 2, then multiply the result by pi (approximately 3.14159). Alternatively, you can use the diameter with the formula C = π × d, where d is the diameter.

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