Cylinder Volume Calculator Circumference to diameter calculator helps you convert or calculate a circle's diameter when the circumference is known, and vice versa. It simplifies the conversion process which provides users with quick and accurate results without the need for manual calculations.
Parts of a circle:
A circle consists of three main parts, which includes:
Circumference:
The circumference of a circle is the total curved distance around its outer boundary.
Diameter:
A diameter is the longest straight line segment that passes through the center of a circle and intersects both its opposite ends. It is equal to twice the radius.
Radius:
The radius of a circle is the straight line from its center to any point on the circumference. it is half of the diameter.
Circumference to diameter formula:
$$ d = \frac{C}{\pi} $$
Where,
- d – diameter of the circle.
- C – Circumference of the circle.
- π – Pi (approximately 3.14159)
Finding the distance around a circle seems complex, but it's not. We have included a helpful example below to illustrate how to find the diameter from the circumference of a circle, such as:
Example:
Suppose you have a circle with a circumference (C) of 30 centimeters. Now, you want to find the diameter (d) of that circle.
Using the formula:
\(d = \frac{C}{\pi}\)
Adding up the values:
\(d = \frac{30}{\pi}\)
Now, calculate:
\(d \approx \frac{30}{3.14159} \approx 9.55\)
How to find the circumference when diameter is known?
To find the circumference from the diameter of a circle is pretty simple with the help of the following formula:
- (C = π d) or (C = 2 π r)
Example:
Let's say the diameter of a circle is 10 cm. To find the circumference (C), you can use the formula that we discussed above:
C = π d
Add the values into the formula:
C= 3.142 × 10cm
Now, calculate the circumference:
C ≈ 31.42cm