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Easiest way to find the length of a cord: (enter in scientific calculator as shown below)
x=2 squareroot(h(2*r-h)) Where:
x is the answer or the endpoint of the cord where it would meet the radius. h is height or the amount of flat you want from the top of the radius. r is the radius. So: Say we have a round bar which is 90mm radius (180mm diameter). We want to machine a flat on the bar 40mm deep from the outer edge but need to know the distance where the edge of the flat meets the radius. x=2 squareroot(40(2*90-40)) x=74.833mm
This calculation is useful to find any point at which the cord will intersect the radius/diameter.
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You mean the highest point in the segment formed by a cord, or, how much do you shave off a circle to get a flat of a known length? R = circle radius r = 1/2 cord length H = height of segment Square 'r', or multiply 'r' by itself Square 'R' and subtract value of your 'r squared' Find 'square root' of this remainder. Use calculator key or test multiply to find a close factor. Subtract this factor from "R" and the result is "H"
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