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Radius of a Circle Calculator

Provide one known value to calculate the remaining values of a circle.

centimeters (cm)

milimeters (mm)

meters (m)

kilometers (km)

decimetre (dm)

inches (in)

yards (yd)

miles (mi)

nautical mile (nmi)

square millimeter (mm²)

square centimeter (cm²)

square decimeter (dm²)

square metre (m²)

square kilometre (km²)

square inch (in²)

square feet (ft²)

square yards (yd²)

square miles (mi²)

atto (a)

dekameters (da)

hectares (ha)

acres (ac)

soccer fields

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Radius of a Circle Calculator

Use our Radius of a Circle Calculator to determine the distance from the center of a circle to any point on its circumference. The calculator can also compute related properties such as diameter, area, and circumference.

How to Use This Calculator

Follow these steps:

Input:

  • Choose which parameter you know (e.g., diameter, area, circumference).
  • Enter its value and select the unit.
  • Click the "Calculate" button.

Output:

  • The calculator provides the radius, area, diameter, and circumference of the circle.

What is the Radius of a Circle?

The radius is a fundamental measure in geometry:

"The distance from the center of a circle to any point on its boundary."

Radius of a circle

Methods to Find the Radius

1. From Diameter:

Formula:

Diameter: D = 2r

Radius: r = D / 2

Radius from Diameter

2. From Area:

Formula:

Area: A = πr²

Radius: r = √(A / π)

Radius from Area

3. From Circumference:

Formula:

Circumference: C = 2πr

Radius: r = C / (2π)

Radius from Circumference

4. From Sector Area and Central Angle:

Formula:

Sector Area: A = (θ / 360°) × πr²

Radius: r = √(A × 360 / (θ × π))

Radius from central angle and area

Example Problem:

Question: Find the radius of a circle with an area of A = 78 m².

Solution:

Use the formula: r = √(A / π)

Substitute values: r² = 78 / 3.14

r² = 24.840

r = √24.840

r ≈ 4.98 m

References

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