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

ⓘ 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

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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)#

Summary
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 numberThe number one (1) raised to any power gives one (1). 1n=1111n razy=11^n = \underbrace{1 \cdot 1 \cdot 1 \cdot \ldots \cdot 1}_{\text{n razy}} = 1
2Show sourceπ1\pi \cdot 1Multiply by oneAny number multiplied by one (1) gives the same number: a1=1a=aa \cdot 1 = 1 \cdot a = a
3Show sourceπ\piResultYour expression reduced to the simplest form known to us.
Numerical result step by step
1Show source3.1415926535897933.141592653589793The original expression-
2Show source3.1415926535897933.141592653589793ResultYour expression reduced to the simplest form known to us.
Units normalization
Show source3.141592653589793 [m2]3.141592653589793\ \left[m^2\right]

Result: Circumference (L)#

Summary
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 \cdot 1Multiply by oneAny number multiplied by one (1) gives the same number: a1=1a=aa \cdot 1 = 1 \cdot a = a
2Show source2 π2~\piResultYour expression reduced to the simplest form known to us.
Numerical result step by step
1Show source23.1415926535897932 \cdot 3.141592653589793Simplify arithmetic-
2Show source6.2831853071795866.283185307179586ResultYour expression reduced to the simplest form known to us.
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
    where:
    • 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
    where:
    • 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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