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Circumference to Diameter Calculator

Enter the diameter or circumference into the tool to find the related measurements of the circle instantly

Circumference to Units Units to Diameter

Units:

cm ▾

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Circumference to Diameter Calculator

Use our circumference to diameter calculator to accurately convert between a circle's circumference and its diameter. Follow step-by-step instructions to calculate diameter from circumference with precision.

Circle

A circle is a perfectly round shape where every point on the edge is the same distance from the center. Key properties include its circumference and diameter.

Circumference

The circumference is the perimeter of the circle—the total distance around its edge. It measures the boundary of the circular shape.

Diameter

The diameter is a straight line passing through the center, connecting two points on the circumference. It represents the full width of the circle. This calculator quickly converts between circumference and diameter.

How to Find Diameter from Circumference

The formula to calculate diameter from circumference is:

d = C / π

Circumference and diameter of circle

C = π d

d = diameter
C = circumference
π = ratio of circumference to diameter (~3.14159)

Practical Example 1

Suppose the diameter of a circle is 10 cm. Find its circumference.

Given: D = 10 cm
C = ?

Solution:

C = π × d = 3.14 × 10 = 31.416 cm

Conversion into other units:

mm	m	km	in	ft	yd	mi
314.159	0.314	0.000314	12.37	1.031	0.34357	0.000195

Practical Example 2

Suppose the circumference of a circle is 60 cm. Find its diameter.

Given: C = 60 cm
d = ?

Solution:

d = C / π = 60 / 3.14 ≈ 19.099 cm

Diameter conversions into other units:

mm	m	km	in	ft	yd	mi
190.986	0.191	0.000191	7.52	0.627	0.20886	0.000119

How the Calculator Works

Enter a circle's circumference, and the calculator instantly finds the corresponding diameter and unit conversions.

Enter the circumference and select the unit
Click Calculate

Output:

Diameter of the circle
Equivalent values in other units

FAQs

What is the circumference of a circle with a radius of 24 inches?

C = 2 × π × r = 2 × 3.14 × 24 = 150.72 inches

How to find circumference if area is given?

Calculate radius using A = π r²
Then use C = 2 π r to find the circumference

Formula for perimeter if area is known

C = 2 × √(π × A) units

Circumference in terms of π if diameter = 7 cm

C = π × d = π × 7 = 7π units

References

Wikipedia – Circumference

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