Suppose a chord of a circle is 32 millimeters long and is 12 millimeters from the center of the circle. What is the circumference of the circle?

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1 answer

A radius to a chord cuts the chord in half at a right angle.
So if the radius is r, I see that

r^2 = 12^2 + 16^2
r^2 = 400
r = √400 = 20

circumference = 2πr = 2π(20) = 40π
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