SOLUTION: How far is 16 cm chord from the center of a circle with a radius of 10 cm?

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Question 874869: How far is 16 cm chord from the center of a circle with a radius of 10 cm?
Answer by josgarithmetic(39618) About Me  (Show Source):
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Imagine the circle centered at the origin on a cartesian coordinate system, and the chord in the circle is parallel to the x-axis, and the center of the chord intersects the y-axis, cutting the chord into two pieces of length 8 cm.

The circle is x%5E2%2By%5E2=100. Notice that the x coordinates for the endpoints of the chord are x=-8 and x=8. Use either of these to find the y value. This y value is the distance from the chord to the center of the circle.