feet apart and the depth of the arc at the center point is 2 inches. What is
the radius of the circle?
No trig or anything real advanced needed here. Merely that the square
of the hypotenuse of a right triangle = the sum of the squares of the
other two sides
Picture your arc, and a line between the ends of the arc. Now draw
another line from the center of your circle to the midpoint of the
arc, and a third line from the circle center to one of the endpoints.
Now if you have a circle of radius R, you have just drawn a right
triangle with hypotenuse R, one side of R-2, and the other side of 30
(converting the 5-ft width to inches and dividing by 2.
30^2 + (R-2)^2 = R^2
900 + R^2 -4R + 4 = R^2
904 = 4R
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