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

# 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) square yottametres [Ym²]square zettametres [Zm²]square exametres [Em²]square petametres [Pm²]square terametres [Tm²]square gigametres [Gm²]square megametres [Mm²]square kilometres [km²]square hectometres [hm²]square decametres [dam²]square metres [m²]square decimetres [dm²]square centimetres [cm²]square milimetres [mm²]square micrometres [µm²]square nanometres [nm²]square angstroms [Å²]square picometres [pm²]square femtometres [fm²]square attometres [am²]square zeptometres [zm²]square yoctometres [ym²]acre [ac]baronyboard [bd]circular inch [circ in]circular mil (thou) [circ mil]cordhiderood [ro]square chain [sq ch]square foot [sq ft]square inch [sq in]square link [sq lnk]square mil; square thou [sq mil]square mile; section [sq mi]square rod/pole/perch [sq rd]square U.S. Survey foot [sq ft]square U.S. Survey mile [sq mi]square yard [sq yd]townshipyardlandhectare [ha]dunamstremmaare [a]centiare [ca]barn [b]milibarn [mb]microbarn [µb]nanobarn [nb]picobarn [pb]femtobarn [fb] => Circumference (L) yottameter [Ym]zettameter [Zm]exameter [Em]petameter [Pm]terameter [Tm]gigameter [Gm]megameter [Mm]kilometer [km]hektometer [hm]meter [m]decimeter [dm]centimeter [cm]milimeter [mm]micrometre (micron) [µm]nanometer [nm]pikometer [pm]femtometer [fm]attometer [am]zeptometer [zm]yoctometer [ym]statute leaguemile [mi]furlong [fur]surveyor's chain [ch]engineer's chain [ch]rod [rd]fathom [fm]yard [yd]foot [ft]link [li]handinch [in]lineparsec [pc]light year [ly]light minutelight secondastronomical unit [au]sea leaguesea mile [nmi]sea cabelbritish cabelUS cabelangstrom [Å] => Radius (R) yottameter [Ym]zettameter [Zm]exameter [Em]petameter [Pm]terameter [Tm]gigameter [Gm]megameter [Mm]kilometer [km]hektometer [hm]meter [m]decimeter [dm]centimeter [cm]milimeter [mm]micrometre (micron) [µm]nanometer [nm]pikometer [pm]femtometer [fm]attometer [am]zeptometer [zm]yoctometer [ym]statute leaguemile [mi]furlong [fur]surveyor's chain [ch]engineer's chain [ch]rod [rd]fathom [fm]yard [yd]foot [ft]link [li]handinch [in]lineparsec [pc]light year [ly]light minutelight secondastronomical unit [au]sea leaguesea mile [nmi]sea cabelbritish cabelUS cabelangstrom [Å] <=

# Units normalization#

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

# Result: Area (S)#

Summary
Used formulaShow source$\mathrm{S}=\pi \cdot R^{2}$
ResultShow source$\pi$
Numerical resultShow 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 formulaShow source$\mathrm{L}=2~\pi \cdot R$
ResultShow source$2~\pi$
Numerical resultShow 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$6.283185307179586$ The original expression - 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.

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