SOLUTION: A diameter of a circle measures 52 units. Find the length of a chord that is 10 units from the center. Show the solutions

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Question 1191609: A diameter of a circle measures 52 units. Find the length of a chord that is 10 units from the center. Show the solutions
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Make a sketch.


Find a right angled triangle.


It is formed by half of the chord, the perpendicular to the chord drawn from the center, and the radius.


Apply the Pythagorean theorem and get for the half of the chord its length


    the half of the chord = sqrt%28%2852%2F2%29%5E2-10%5E2%29 = 24 units.


Hence, the length of the chord is  2*24 = 48 units.    ANSWER

Solved.