SOLUTION: find the radius of a circle with center at (2,3), if a chord of length 8 is bisected at (-1,4).

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Question 1016835: find the radius of a circle with center at (2,3), if a chord of length 8 is bisected at (-1,4).
Answer by ikleyn(52795) About Me  (Show Source):
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find the radius of a circle with center at (2,3), if a chord of length 8 is bisected at (-1,4).
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1. Make a sketch.

2. Calculate the distance from the center to the bisection point.

3. Consider the right-angled triangle.

4. Apply the Pythagorean Theorem.