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

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Symbolic algebra

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Calculations data - enter values, that you know here#

Area (S)
Circumference (L)
Radius (R)

Units normalization#

Radius (R)Show source1 [m]1\ \left[m\right]
Area (S)
Circumference (L)

Result: Area (S)#

Used formulaShow sourceS=πR2\mathrm{S}=\pi\cdot{ R}^{2}
ResultShow sourceπ\pi
Numerical resultShow source3.141592653589793 [m2]3.141592653589793\ \left[m^2\right]
Result step by step
1Show sourceπ12\pi\cdot{1}^{2}Power of one number
2Show sourceπ1\pi\cdot1Multiply by one
3Show sourceπ\piResult
Numerical result step by step
1Show source3.1415926535897933.141592653589793Result
Units normalization
Show source3.141592653589793 [m2]3.141592653589793\ \left[m^2\right]

Result: Circumference (L)#

Used formulaShow sourceL=2 πR\mathrm{L}=2~\pi\cdot R
ResultShow source2 π2~\pi
Numerical resultShow source6.283185307179586 [m]6.283185307179586\ \left[m\right]
Result step by step
1Show source2 π12~\pi\cdot1Multiply by one
2Show source2 π2~\piResult
Numerical result step by step
1Show source6.2831853071795866.283185307179586Result
Units normalization
Show source6.283185307179586 [m]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=πR2S = \pi R^2
    • S - disk area,
    • R - radius,
    • π\pi - constant, that approximates 3.14.
  • Circumference of the disk with radius R is:
    L=2πRL = 2\pi R
    • L - circumference of disk or circle,
    • R - radius,
    • π\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.

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