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I want the formula for calculating arc length,arc height,arc width,arc angle,etc related with arcs..

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by sruthi92

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by sruthi92

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See figure 1. ** Our arc is PR.**

*arc angle = Ф*

*arc length s = r Ф*

arc width w = r ( 1 - cos Ф)

arc height h = r sin Ф

if s is given, the angle the arc subtends at the centre of curvature = s / r

if width and height are given tan Ф = h / (r - w)

for FIGURE 2 it will be different.

**

arc width w = r ( 1 - cos Ф)

arc height h = r sin Ф

if s is given, the angle the arc subtends at the centre of curvature = s / r

if width and height are given tan Ф = h / (r - w)