${\displaystyle A={\frac {r^{2)){2))\cdot \left(\alpha -\sin \alpha \right)}$

${\displaystyle A={\frac {r\cdot b}{2))-{\frac {s\cdot (r-h)}{2))}$

${\displaystyle A={\frac ((\frac {1}{2))\arctan \left({\frac {2h}{s))\right)\cdot \left(4h^{2}+s^{2}\right)^{2}+hs\cdot \left(4h^{2}-s^{2}\right)}{16h^{2))))$

${\displaystyle A=r^{2}\cdot \arccos {\left(1-{\frac {h}{r))\right)}-(r-h)\cdot {\sqrt {2rh-h^{2))))$

${\displaystyle A=r^{2}\cdot \arcsin {\left({\frac {s}{2r))\right)}-{\frac {s\cdot (r-h)}{2))}$

${\displaystyle A\approx {\frac {2}{3))s\cdot h}$^[1]

${\displaystyle r={\frac {4h^{2}+s^{2)){8h))}$

${\displaystyle r={\frac {s}{2\cdot \sin {\frac {\alpha }{2))))}$

${\displaystyle r={\frac {h}{1-\cos \left({\frac {\alpha }{2))\right)))}$

${\displaystyle s=2r\cdot \sin \left({\frac {\alpha }{2))\right)}$

${\displaystyle s={\frac {2h}{\tan \left({\frac {\alpha }{4))\right)))=2h\cdot \cot \left({\frac {\alpha }{4))\right)}$

${\displaystyle s=2\cdot {\sqrt {r^{2}-(r-h)^{2))}=2{\sqrt {2rh-h^{2))))$

${\displaystyle h=r\cdot \left(1-\cos \left({\frac {\alpha }{2))\right)\right)}$

${\displaystyle h=r-{\sqrt {r^{2}-\left({\frac {s}{2))\right)^{2))}=r-{\frac {1}{2)){\sqrt {4r^{2}-s^{2))))$

${\displaystyle h={\frac {s}{2))\cdot \tan \left({\frac {\alpha }{4))\right)}$

${\displaystyle b=r\cdot \alpha }$

${\displaystyle b={\frac {\alpha \cdot \left(4h^{2}+s^{2}\right)}{8h))}$

${\displaystyle b={\frac {\arctan \left({\frac {2h}{s))\right)\cdot \left(4h^{2}+s^{2}\right)}{2h))}$

${\displaystyle b=2\cdot r\cdot \arcsin \left({\frac {s}{2r))\right)}$

${\displaystyle \alpha =2\cdot \arctan \left({\frac {s}{2(r-h)))\right)}$

${\displaystyle \alpha =2\cdot \arccos \left(1-{\frac {h}{r))\right)}$

${\displaystyle \alpha =2\cdot \arcsin \left({\frac {s}{2r))\right)}$

${\displaystyle \alpha =2\cdot \arcsin \left({\frac {4hs}{4h^{2}+s^{2))}\right)}$

${\displaystyle \alpha =4\cdot \arctan \left({\frac {2h}{s))\right)}$

${\displaystyle x_{s}={\frac {4}{3))\cdot {\frac {r\cdot \sin ^{3}\left({\frac {\alpha }{2))\right)}{\alpha -\sin \alpha )),\qquad y_{s}=0}$

${\displaystyle x_{s}={\frac {s^{3)){12\cdot A)),\qquad y_{s}=0}$

Sonderfall Halbkreis:
${\displaystyle x_{s}={\frac {4r}{3\pi )),\qquad y_{s}=0}$