Posted by Dixie on Sunday, January 25, 2009 at 5:50pm.
A) Let x be the distance of the chord from the center. Draw a line from the center of the chord to the center of the circle. This forms a right triangle with a radius and half the chord.
x^2 + 60^2 = r^2 = 4624
x^2 = 1024
x = 32
B) The angle subtended by the chord is 2 arcsin 60/68 = 123.85 degrees = 2.162 radians
Multiply that by the radius to get the arc length, 147.0 units.. a bit longer than the chord length, as you would expect.
your mom
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