Question 498857
A circle of radius 25 units has a chord going through a point that is located 10 units from the center. What is the shortest possible length that the chord could have?
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Using the Pythagorean theorem, the chord length for a circle of radius r and
perpendicular distance, d, from the chord to the center of the circle is:
{{{2*sqrt(r^2 - d^2)}}}
Using the values for d and r, we have
chord length = {{{2*sqrt(25^2-10^2) = sqrt(4*525) = sqrt(2100)}}}
Ans: D