Quandaries and Queries


i have an arc 55 inches wide, 12 inches high at the centerline of the arc. how can i determine the diameter of the circle that would correspond to the arc.


Hi Ruben,

Recently I answered a similar question for Daryl. Your dimensions are not the same as his but otherwise the problems are identical. Using your dimensions and the same notation as I used for him I get the equation

55/2)2 + (r - 12)2 = r2

Solving for r gives r = 37.51 inches or a diameter of 75 inches.



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