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Topic: the relationship between arcs and chords
Replies: 1   Last Post: Feb 6, 1999 4:39 PM

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Brad Newman

Posts: 17
Registered: 12/6/04
A relationship between a chord and its respective arc
Posted: Feb 6, 1999 4:39 PM
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The relationship between a chord and its respective arc can be
expressed as:

sin^-1(chord / 2r) = (180*arc) / (2*PI*r)

where sin^-1 is Inverse sine
chord is the actual chord length
r is the radius of the circle
arc is the arc length

This relationship works great in an iterative solver like TLSolver
where you guess at the value of r before solving.

If you need proofs, E-Mail me.

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