# Area of an arch given height and chord Calculator

## Calculates the area, circular arc, center angle and radius of an arch given the chord and height.

 chord c height h 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt area S center angle θ radian = degree circular arc L radius r
 $\normal Arch\\(1)\ center\ angle:\hspace{8} \theta=2\cos^{\tiny-1}(1-{\large\frac{h}{r}})\\(2)\ circular\ arc :\ L=r\theta\\(3)\ chord :\hspace{60} c=2\sqrt{h(2r-h)}\\(4)\ area:\hspace{67} S={\large\frac{\theta}{2}}r^{2}-(r-h)\sqrt{h(2r-h)}\\$

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