Posted by Dixie on Sunday, January 25, 2009 at 5:50pm.
In a circle , the radius is 68 units and a chord of the circle is 120 units.
Part A)How far is the chord from the center?
Part B)Find the measure of the arc created by the chord.

Math  drwls, Sunday, January 25, 2009 at 6:27pm
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.

Math  your mom, Sunday, December 4, 2011 at 2:48pm
your mom
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