How to calculation Circumference, Diameter, Area, and also Radius

The one calculator finds the area, radius, diameter and circumference that a circle labeled together a, r, d and c respectively.

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For those having challenge using recipe manually to find the area, circumference, radius and also diameter the a circle, this one calculator is simply for you. The equations will certainly be given below so you deserve to see how the calculator obtains the values, however all you have to do is intake the an easy information. The calculator does the rest.


Finding the Circumference:

The one is comparable to the perimeter in that it is the full length needed to attract the circle.

We keep in mind the circumference as c.

c = 2πr


c = πd

This relies on even if it is or not you understand the radius (r) or the diameter (d)

Let’s calculation one manually, because that example.

If r = 6 cm, the the one is c = 2π(6) = 12π cm, if writing in regards to π. If you favor a numerical value, the prize rounded come the nearest tenth is 37.7 cm.

Suppose friend only recognize the diameter? If the diameter is 8 cm, then the one is c = π(8) = 8π or 25.1 cm, rounded come the nearest tenth.

A an excellent thing about the formulas is that you have the right to manipulate it to resolve for an unknown if you understand one the the various other quantities. Because that example, if we understand the circumference, yet don’t know the radius, you have the right to solve c = 2πr because that r and also get \(r = \fracc2\pi\). Similiarly, if you desire the diameter indigenous the circumference, merely take c =πd and also solve because that d to acquire d = \(\fracc\pi\).


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Finding the Area:

Let a = area the the circle

a = πr²

If you know the diameter and not the radius, merely divide the diameter by 2 to get the radius and still usage the formula above.

Again, the formula deserve to be offered to deal with for the radius, if you understand the area. Simply divide a by π to obtain r² and also take the square root of the result.

If you wish to know the diameter native the area, monitor the procedure above but twin the result you obtain for r. This is due to the fact that the diameter is double the size of the radius.

Try an example manually to obtain the area.

Suppose r = 5 inches

a = πr²

a = π(25) = 25π

If round off to the nearest tenth the area is 78.5 square inches.

If you recognize the diameter, merely divide by 2 to acquire the radius and also use the same formula together above.

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Of course, you don’t have to go v all the hands-on calculations to usage this calculator. Merely input the info you know and the rest will it is in computed because that you nearly instantly.