Enter any one of the value (A, C, d, r) to know the other remaining terms along with their formulas.
Find the complete distance around a circular object. With this circumference calculator you can learn the circumference, radius, diameter, and close range for any circle.
Definition of circumference:
The circumference represents the straight distance around the outside of the circle.
The circumference of a circle is just like the perimeter of a polygon. The ratio of the circumference to the diameter of a circle is constantly equal to π.
The circumference of a circle for any given variable can be calculated using the method:
C = 2πr = πd
Where:
π = pi = 3.14159
In opposite to determine the radius and diameter of a given circular shape, we will use the circumference calculator but for manual calculations here are formulas for the radius & diameter.
r = d/2
d = 2r
A = πr2 = πd2 / 4
If the diameter of a circle is 22cm, then what is the circumference of that circle?
Solution:
The formula to find the circumference is:
C = 2πr = πd
Insert the values into the formula:
C = 3.14 * 22cm
C = 69.08cm
| Property | Formula | Example Calculation |
|---|---|---|
| Circumference of a Circle | C = 2πr | For a circle with radius 5 cm, C = 2 × π × 5 = 31.42 cm |
| Radius of Circle | r = C / (2π) | If the circumference is 31.42 cm, r = 31.42 / (2 × π) = 5 cm |
| Diameter of Circle | d = 2r | If r = 5 cm, d = 2 × 5 = 10 cm |
| Circumference and Diameter | C = πd | For a diameter of 10 cm, C = π × 10 = 31.42 cm |
| Units of Measurement | Ensure consistency in units (e.g., cm, m, km) | If the radius is 7 meters, the circumference will be 2π × 7 = 43.98 meters. |
| Pi (π) | π ≈ 3.14159 | The value of π used in calculations is approximately 3.14159. |
| Approximation for Small Radius | C ≈ 2 × 3.14 × r | For a radius of 2 cm, C ≈ 2 × 3.14 × 2 = 12.56 cm |
| Circumference of an Ellipse | C ≈ 2π√((a² + b²)/2) | If a = 6 cm and b = 4 cm, C ≈ 2π√((6² + 4²)/2) ≈ 31.42 cm |
| Circular Track | Length of track = 2πr | If the track radius is 20 meters, Length = 2π × 20 = 125.66 meters. |
| Circumference and Area Relationship | A = πr², and C = 2πr | If the area of a circle is 78.54 cm², C = 2π × √(78.54/π) ≈ 31.42 cm. |
A Perimeter Gauge is an instrument used to determine the boundary length of a circular object using the radius or diameter measurements of the circle. The edge length of a circle (called the edge of the circle) can be figured using certain math rules. This calculator simplifies the process by giving a quick answer.
To use a Circular Dimension Calculator, just enter the circular radius or diameter. The calculator will subsequently apply the relevant equation to determine the perimeter, employing either the radius or diameter, and show the result.
The relevance of the boundary spans various practical scenarios, including calculating the contour of looped items such as rotors, conducts, or racing courses. Engineering, production, and layout use this tool for accurate gaugging of circular forms.
No, the Perimeter Measurement Tool can be used for all kinds of circles, whether they are drawn on paper or within practical applications. The formula for circumference applies universally to all circles.
Circumference is a one-dimensional (measured in units such as centimeters or inches), contrasting area, which requires square dimensions (like square centimeters or square inches).
For example, if the radius measures 5 meters and the desired outcome should be in centimeters, multiply the radius by 100 (as one meter equals 100 centimeters), then implement the formula.
When the incorrect value is inserted for radius or diameter, it will lead to an inaccurate result in calculating the circle’s boundary. make sure to measure the size of the circle clearly, and if you’re using a calculator, please make sure you check the numbers again.
No, the circle’s range or extent cannot be negative, as they mean physical range. If a negative quantity is inputed, the calculator will probably generate an inconsistency or an inaccurate outcome, given that negative measurements are irrelevant in this scenario.
To calculate the circular arc length corresponding to the angle of a sector, one must be aware of the complete radius or the total diameter of the given circle. The angle of the sector facilitates the arc measurement, yet the entire perimeter continues to rely on the radius or diameter that remains unaltered by the angle proportion of the sector.
