# Area of an arch given height and radius Calculator

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

 radius r height h 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit area S center angle θ radian = degree circular arc L chord c
 $\normal Arch\\(1)\ center\ angle:\hspace{8} \theta=2\cos^{\tiny-1}(1-{\large\frac{h}{r}})\\(2)\ circular\ arc :\ L=r\theta\\(3)\ chord :\hspace{60} c=2\sqrt{h(2r-h)}\\(4)\ area:\hspace{67} S={\large\frac{\theta}{2}}r^{2}-(r-h)\sqrt{h(2r-h)}\\$

Area of an arch given height and radius
 [1-1] /1 Disp-Num5103050100200
[1]  2018/07/20 20:51   Male / 40 years old level / An office worker / A public employee / Very /
Purpose of use
To use so I can add a volume measure to a sight glass on the side of a water tanker without the hard work!
Comment/Request
I landed on one of your other similar pages from a web browser, might be worthwhile grouping all same types together - circles / polygons etc.
Also, it may be a terminology thing but I was looking for the ''area of a segment'' which this is to me so inclusion of terminology which suits all may be worthwhile.

Thanks

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