How to Find the Circumference of a Circle?

The Circumference of a Circle

As with triangles and rectangles, we can attempt to determine formulas for the area and “perimeter” of a circle. Not at all like triangles, rectangles, and other such figures, the distance around the outside of the circle is called the circumference rather than the perimeter-the idea, be that as it may, is essentially the same.

Calculating the circumference of a circle isn’t as easy as calculating the perimeter of a rectangle or triangle, in any case. Given a protest in real life having the shape of a circle, one approach may be to wrap a string exactly once around the question and then straighten the string and measure its length. Such a procedure is illustrated beneath.

Clearly, as we increase the diameter (or radius) of a circle, the circle gets greater, and henceforth, the circumference of the circle also gets greater. We are directed to feel that there is therefore some relationship between the circumference and the diameter. Things being what they are, whether we measure the circumference and the diameter of any circle, we always find that the circumference is somewhat more than three times the diameter. The two example circles underneath illustrate this point, where D is the diameter and C the circumference of each circle.

Again, in each case, the circumference is somewhat more than three times the diameter of the circle. On the off chance that we partition the circumference of any circle by its diameter, we wind up with a constant number. This constant, which we label with the Greek symbol π (pi), is approximately 3.141593. The exact value of π is obscure, and it is suspected that pi is an irrational number (a non-repeating decimal, which therefore cannot be communicated as a fraction with a whole number numerator and whole number denominator). We should work out the relationship said above: the remainder of the circumference (C) isolated by the diameter (D) is the constant number π.

We can determine an articulation for the circumference as far as the diameter by duplicating the two sides of the articulation above by D, thereby isolating C.

Because the diameter is double the radius (in other words, D = 2r), we can substitute 2r for D in the above articulation.

In this manner, we can calculate the circumference of a circle in the event that we know the circle’s radius (or, therefore, its diameter). For most calculations that require a decimal answer, estimating π as 3.14 is often adequate. For instance, if a circle has a radius of 3 meters, then its circumference C is the accompanying.

The answer above is exact (despite the fact that it is composed regarding the symbol π). On the off chance that we require an approximate numerical answer, we can estimate π as 3.14. Then,

The symbol ≈ simply means “approximately equal to.”

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