SOLUTION: SOLUTION: express the length l of a chord of a circle of radius 8 in. as a function of its distance x in. from the center of the circle, and determine the domain of the function
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Question 1144647: SOLUTION: express the length l of a chord of a circle of radius 8 in. as a function of its distance x in. from the center of the circle, and determine the domain of the function Answer by ikleyn(52803) (Show Source):
1. Make a sketch.
2. In the sketch, draw the segment from the center to the midpoint of the chord.
3. The expression for the half of the chord y is y = inches (Pythagorean theorem).
4. You need the entire chord length, which is twice y, i.e. .
5. It is your answer.
