Quandaries
and Queries |
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I am a software developer and I having a problem that I need some assistance with. If given the length of a chord (121”) and the distance from the midpoint of the arc to the midpoint of a chord (12”), how would I find the length of the radius? Thanks, Stace |
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Hi Stace, I want to solve this problem in general, that is for a chord of length c and an arc that is h units in height at the midpoint of the chord. In the diagram below r is the radius of the circle, B is the midpoint of the chord and C is the centre of the circle and hence triangle ABC is a right triangle.
Thus by Pythagoras Theorem
Thus
so In your situation with c = 121 inches and h = 12 inches Penny |