SOLUTION: The length of a chord in a circle is 10 units. Its distance from the center of the circle is 3 units. Which is the radius ?

Question 946640: The length of a chord in a circle is 10 units. Its distance from the center of the circle is 3 units. Which is the radius ?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
The distance from the center to the chord would be from the radius to the midpoint of the chord, and perpendicular to the chord. This giives us two legs of a right triangle: A= the distance from midpoint to radius=3, and B=midpoint of chord to circle=5. The radius corresponds to the hypotenuse of this triangle, so:

Find square root of each side
=5.83 ANSWER The radius of the circle is (approx) 5.83 units

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