# Area of an arch

## Calculates the area, circular arc and cord of an arch given the radius and angle.

angle θ

area S
circular arc L
cord c

 $\normal Arch\\(1)\ area:\hspace{65} S={\large\frac{1}{2}}r^{2}(\theta-\sin\theta)\\(2)\ circular\ arc :\ L=r\theta\\(3)\ chord :\hspace{60} c=2r\sin{\large\frac{\theta}{2}}\\$

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