Common calculations related to disk (wheel, circle). Calculate circle's area or radius or circumference.

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Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

What do you want to calculate today?#

Choose a scenario that best fits your needs

I know radius (R) and want to calculate area (S) or circumference (L)I know area (S) and want to calculate radius (R) or circumference (L)I know circumference (L) and want to calculate radius (R) or area (S)

Calculations data - enter values, that you know here#

Area (S)		=>
Circumference (L)		=>
Radius (R)		<=

Units normalization#

Radius (R)	Show source $1\ \left[m\right]$
Area (S)
Circumference (L)

Result: Area (S)#

Summary

Used formula

Show source

\mathrm{S}=\pi \cdot R^{2}

Result

Show source

\pi

Numerical result

Show source

3.141592653589793\ \left[m^2\right]

Result step by step

1	Show source $\pi \cdot 1^{2}$	Power of one number	The number one (1) raised to any power gives one (1). $1^n = \underbrace{1 \cdot 1 \cdot 1 \cdot \ldots \cdot 1}_{\text{n razy}} = 1$
2	Show source $\pi \cdot 1$	Multiply by one	Any number multiplied by one (1) gives the same number: $a \cdot 1 = 1 \cdot a = a$
3	Show source $\pi$	Result	Your expression reduced to the simplest form known to us.

Numerical result step by step

1	Show source $3.141592653589793$	The original expression	-
2	Show source $3.141592653589793$	Result	Your expression reduced to the simplest form known to us.

Units normalization

Show source

3.141592653589793\ \left[m^2\right]

Result: Circumference (L)#

Summary

Used formula

Show source

\mathrm{L}=2~\pi \cdot R

Result

Show source

2~\pi

Numerical result

Show source

6.283185307179586\ \left[m\right]

Result step by step

1	Show source $2~\pi \cdot 1$	Multiply by one	Any number multiplied by one (1) gives the same number: $a \cdot 1 = 1 \cdot a = a$
2	Show source $2~\pi$	Result	Your expression reduced to the simplest form known to us.

Numerical result step by step

1	Show source $2 \cdot 3.141592653589793$	Simplify arithmetic	-
2	Show source $6.283185307179586$	Result	Your expression reduced to the simplest form known to us.

Units normalization

Show source

6.283185307179586\ \left[m\right]

Some facts#

The disk (wheel) is a set of points on the plane whose distance from the center of the disk is less or equal to its radius.
The disk is a flat figure.
There are two parameters defining the disk (wheel) in the unique way: center of the disk and its radius.
The area of the disk depends on its radius and can be computed using formula:

$S = \pi R^2$
where:
- S - disk area,
- R - radius,
- $\pi$ - constant, that approximates 3.14.
Circumference of the disk with radius R is:

$L = 2\pi R$
where:
- L - circumference of disk or circle,
- R - radius,
- $\pi$ - constant, that approximates 3.14.
For each disk (wheel) the ratio of its circumference to diameter is constant. This constant is denoted by greek leter π and is approximately 3.14.

Tags and links to this website#

Tags:

disk · wheel · circle · disk_area · disk_circumference

Tags to Polish version:

kolo · okrag · pole_kola · obwod_kola

What tags this calculator has#

CALCULATOR · MATH · A -> Z (all)

Permalink#

This is permalink. Permalink is the link containing your input data. Just copy it and share your work with friends:

https://calculla.com/disk?ioRadius=$symbolic(1)&ioRadiusUnitId=m&ioCircumferenceUnitId=m&ioAreaUnitId=m2&ioIntentSchemeId=have_ioRadius

Links to external sites (leaving Calculla?)#