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OT: Equation to Solve Arc Height

OT: Equation to Solve Arc Height

OT: Equation to Solve Arc Height

(OP)
Anyone know of a equation for solving arc height based on the diameter/radius and the arc angle?

I know how to solve it in autocad but just wondering if there is an equation to solve it without drawing it.

Thanks

RE: OT: Equation to Solve Arc Height

From survey book,

M=R[1 - cos (Delta/2)]

where Delta is the central angle; M is the middle ordinate, the distance from the middle point on the arc to the middle point on the chord.

RE: OT: Equation to Solve Arc Height

(OP)
Great thanks

RE: OT: Equation to Solve Arc Height

(OP)
ok that equation works good for solving things but I have a question about how the math works in reverse when im trying to solve the angle.   If I have     Cos(delta/2) = .5244  I can not remember how to simplify this equation to solve delta.

Thanks

RE: OT: Equation to Solve Arc Height

Take the arccos (also cos -1 on calculators) of 0.5244, get 58 degrees, which id delta/2, so delta is 117 degrees (rounded).

RE: OT: Equation to Solve Arc Height

(OP)
Ok thanks... That is what I did.  It just seemed to high of a angle.

Thanks again

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