# How to find the radius of a circle? Calculator

The radius of a circle from the area. Find radius of a circle if area is given.

Find radius from area of circle formula. To find the radius of a circle from its area, you can use the following formula:
r = √( S / π)

Area - S
where π (pi) is a mathematical constant approximately equal to 3.14159.

Let's say you have the area of the circle, and you want to find the radius. Here's an example:

Example:
Let's say the area of the circle is 25 square units.

r = √(25 / π)
r = √(25 / 3.14159)
r ≈ √7.9577
r ≈ 2.82

So, in this example, the radius of the circle would be approximately 2.82 units.

### Area measured in various units

The area can be measured in various units depending on the context and the system of measurement being used. Here are some common units of measure for area: Square meters (m²), Square kilometers (km²), Hectares (ha), Acres, Square feet (ft²).
These are just a few examples, and there may be other units specific to certain industries or regions. It's important to use the appropriate unit of measure for the specific context and to ensure consistency when performing calculations or comparing areas.

## The radius of a circle from the diameter

How to work out radius of a circle from diameter? Radius of a circle if diameter is given.

Diameter of the Circle:
The radius of a circle is defined as half the length of its diameter. Mathematically, if the diameter of a circle is denoted as "d," then the radius, denoted as "r," can be calculated using the formula:
r = d/2

Diameter - d
In this formula, the radius is equal to the diameter divided by 2.

Example:
Let's say you have a circle with a diameter of 12 units. To find the radius of this circle, you can use the formula:

r = 12/2
r = 6

Therefore, the radius of the circle is 6 units.

## The radius of a circle from the volume

How to work out radius of a circle from volume? Radius of a circle if volume is given.

Volume of the Circle:

That is the formula to calculate the radius (r) of a sphere given its volume (V). The formula is:
r = ∛((3V) / (4π))

In this formula
"∛" represents the cube root function
"(3V)" represents three times the volume of the sphere
"(4π)" represents four times pi.

Example:
If the volume of the sphere is 4189, you can use this formula to find the radius (r):

r = ∛((3V) / (4π))
r = ∛((3 * 4189) / (4 * π))
r ≈ ∛(12567 / 12.5663706)
r ≈ ∛1000.850926
r ≈ 10.00

Therefore, if the volume of the sphere is 4189, the approximate radius (r) of the sphere is 10.00 units.

## The radius of a circle from the circumference

How to find the radius of a circle using circumference? Radius of a circle if circumference is given.

Circumference of the Circle:

To find the radius of a circle using the circumference, you can use the formula:
r = C / (2 * π)

r - the radius of the circle
C - the circumference of the circle
π - (pi) is a mathematical constant approximately equal to 3.14159

Simply divide the circumference by twice the value of pi to obtain the radius. Let's go through an example:

Example:
Suppose you have a circle with a circumference of 20 units. To find the radius:

r = 20 / (2 * π)
r = 20 / (2 * 3.14159)
r ≈ 3.1831

So, the radius of the circle is approximately 3.1831 units.

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