Circumference of a Circle Formula
Circumference of a Circle Formula
In the above diagram, `O' is the centre of the circle, the white line is its radius and the black
outline is the perimeter or circumference of the circle. Notice that a circle partitions the area
into which it lies in three divisions.
The first one is the region inside the circle. The second part is the region that is outside the
realm of the circle. The third is the circle itself. The length of this margin that defines the circle
is cal ed as its circumference. It is henceforth the perimeter or edge of the circle.
In this article, we wil discuss the Circumference of a Circle Equation. We can compute he
circumference of a circle with the help of its diameter by means of the formula given
underneath:
Circumference = * diameter,
Or, Circumference = * 2 * radius,
The above two formulas always yield the same result and are considered to be alternatives of
each other.
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The value of the constant can be taken as 22 / 7 or 3.142 approximately.
Thus, we can calculate the circumference of a circle with the help of only one quantity i.e.
radius. Let us solve some problems related to the Circumference of a Circle Equation.
Example 1: A circular jogging track is found to have a radius of 21 m. Obtain the
circumference of the jogging track?
Solution: Here, radius, r = 21 m,
Since, Circumference, C = * 2 * r,
Therefore, C = * 2 * 21 = 22 * 2 * 21 / 7 = 132 m,
Example 2: the circumference of a circular patch is 88 inches. Determine its radius and
diameter?
Solution: In this example, the circumference of circular patch, C = 88 inches,
Since, Circumference, C = * 2 * r,
Therefore, 88 = * 2 * r,
=> r = 88 / (2 * ),
=> r = 88 / (2 * 22 / 7),
=> r = 88 * 7 / (2 * 22) = 14 inches.
Also, diameter = 2 * r,
Therefore, the diameter of circular patch is 28 inches.
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Example 3: A table is circular in shape. Its circumference is (25)". Calculate the diameter of
the table?
Solution: In this example, the circumference of table, C = 25 ",
Putting the values in the formula, we can write C = * d,
Thus, d = 25 / = 25",
In addition to the above mentioned conceptions, keep in mind that for a circle with center (s, t)
and radius (r), we can write its equation in x - y plane as,
(x - s) 2 + (y - t) 2 = r 2,
If we are given only the coordinates of a point on the circle and that of the centre of the circle,
we can calculate its radius by substituting values in the above formula and subsequently
calculate its circumference.


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