Kwadrootgraad

At kwadrootgraad (deg², (°)²) (ingelsk square degree of sq degree) as en ianhaid för di rümwinkel. Hat woort brükt uun a astronomii för't ütjmeeden faan objekten üüb a stäärhemel.

Tekst üüb Öömrang

Füsikaalisk ianhaid
Nööm	Kwadrootgraad
Ianhaidentiaken	${\displaystyle \mathrm {deg^{2}} }$, ${\displaystyle \mathrm {sq.deg.} }$, ${\displaystyle \mathrm {(^{\circ })^{2}} }$
Füsikaalisk grate	Rümwinkel
Formeltiaken	${\displaystyle \Omega }$
Dimension	${\displaystyle {\mathsf {{\frac {L^{2}}{L^{2}}}=1}}}$
Uun SI-ianhaiden	${\displaystyle \mathrm {1\ deg^{2}={\frac {\pi ^{2}}{32\,400}}\;sr} }$

Letjer ianhaiden san:

• Kwadroot-böögminüüt (ingelsk square arcmin) ${\displaystyle ={\frac {1}{3600}}}$ kwadrootgraad
• Kwadroot-böögsekund (ingelsk square arcsec) ${\displaystyle ={\frac {1}{3600}}}$ kwadrootminüüten ${\displaystyle ={\frac {1}{12\,960\,000}}}$ kwadrootgraad.

Di fol rümwinkel as ${\displaystyle 4\pi }$ sr = ${\displaystyle {\frac {(360\ \mathrm {deg} )^{2}}{\pi }}\approx 41\,253\ \mathrm {deg^{2}} }$.

Amreegnang tu steradiant:

${\displaystyle {\begin{aligned}\Leftrightarrow 1\ \mathrm {deg} ^{2}&=\left({\frac {2\pi }{360}}\right)^{2}\ \mathrm {sr} \\&=\left({\frac {\pi }{180}}\right)^{2}\ \mathrm {sr} \\&={\frac {\pi ^{2}}{32\,400}}\ \mathrm {sr} \\&\approx 3{,}0461741\cdot 10^{-4}\ \mathrm {sr} \\&\approx 0{,}00030461741\ \mathrm {sr} \end{aligned}}}$

of

${\displaystyle \Leftrightarrow 1\ \mathrm {sr} \approx 3283\ \mathrm {deg} ^{2}}$

För letjer winkel san rümwinkel bal lik üs en areaal, do as en objekt mä en winkel faan 1 graad mool 1 graad amanbi = 1 kwadrootgraad.