SOLUTION: how long is a chord that is 3 meters from the center of a circle with a radius of 5 meters?

Question 878193: how long is a chord that is 3 meters from the center of a circle with a radius of 5 meters?

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Imagine a circle, center at O, and the endpoints of the chord are on the circle at points A and B. A segment extends from point O and is perpendicular to the chord segment AB. Call this intersection point, which is also a perpendicular bisector, point P.

That description is of two right triangles sharing a side, OP. These values are known:
OP = 3;
OA = OB = 5.
You want to find values for AP or BP, and knowing just one of them, you know that AB=2AP=2BP.

Pythagorean Right Triangle Equation will let you solve for AP or BP.

The chord described, which is AB, is
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