Areaal (Miat)

Tekst üüb Öömrang

Füsikaalisk grate
Nööm	Areaal Flaak
Formeltiaken	${\displaystyle A}$ (area)
Hinget tuup mä	Lengde
Gratin- an Ianhaidensüsteem Ianhaid Dimension SI-süsteem m2 L2 CGS-süsteem cm2 L2 Planck-Ianhaiden Planck Areaal ħ·G·c−3

At areaal as en miat för det grate faan en geomeetrisk objekt. Arealen san tau-dimensionaal, diar hiar geomeetrisk grünjfurmen tu üs at kwadroot, at rochthuk, triihuk of a kreis. Man uk a bütjensidjen faan trii-dimensionaal objekten üs kuugel, silinder of sjauerkaant san areaalen.

Objekt	Betiaknangen	Areaal ${\displaystyle A}$
Kwadroot	Sidjenlengde ${\displaystyle a}$	${\displaystyle A=a^{2}}$
Rochthuk	Sidjenlengden ${\displaystyle a,\,b}$	${\displaystyle A=a\cdot b}$
Triihuk	Grünjsidj ${\displaystyle g}$, Hööchde ${\displaystyle h}$ luadrocht tu ${\displaystyle g}$	${\displaystyle A={\frac {g\cdot h}{2}}}$
Trapeets	Parallel tuenööder sidjen ${\displaystyle a,\,c}$, Hööchde ${\displaystyle h}$ luadrocht tu ${\displaystyle a}$ an ${\displaystyle c}$	${\displaystyle A={\frac {a+c}{2}}\cdot h}$
Rütj	Diagonaalen ${\displaystyle d_{1}}$ an ${\displaystyle d_{2}}$	${\displaystyle A={\frac {d_{1}\cdot d_{2}}{2}}}$
Paraleelogram	Sidjenlengde ${\displaystyle a}$, Hööchde ${\displaystyle h_{a}}$ luadrocht tu ${\displaystyle a}$	${\displaystyle A=a\cdot h_{a}}$
Kreis	Raadius ${\displaystyle r}$	${\displaystyle A=\pi r^{2}}$
Elips	Grat an letj hualewaaksen ${\displaystyle a}$ an ${\displaystyle b}$	${\displaystyle A=\pi ab}$
Likmiatag Sääkshuk	Sidjenlengde ${\displaystyle a}$	${\displaystyle A={\frac {3{\sqrt {3}}}{2}}a^{2}}$

Objekt	Betiaknangen	Areaal ${\displaystyle A}$
Dööbel	Sidjenlengde ${\displaystyle a}$	${\displaystyle A=6a^{2}}$
Sjauerkaant	Sidjenlengden ${\displaystyle a,\,b,\,c}$	${\displaystyle A=2(ab+ac+bc)}$
Sjauerflaak	Sidjenlengde ${\displaystyle a}$	${\displaystyle A={\sqrt {3}}\,a^{2}}$
Kuugel	Raadius ${\displaystyle r}$	${\displaystyle A=4\pi r^{2}}$
Türn	Grünjraadius ${\displaystyle r}$, Hööchde ${\displaystyle h}$	${\displaystyle A=2\pi r(r+h)}$
Keegel	Grünjraadius ${\displaystyle r}$, Hööchde ${\displaystyle h}$	${\displaystyle A=\pi r(r+{\sqrt {r^{2}+h^{2}}})}$
Ring	Bütjenraadius ${\displaystyle R}$, Banenraadius ${\displaystyle r}$	${\displaystyle A=4\pi ^{2}\cdot R\cdot r}$

• Rüm (Miat)