SOLUTION: A circle has a diameter of 32 cm. How far from the center of the circle, to the nearest centimeter is a chord 20 cm. long?

Algebra ->  Circles -> SOLUTION: A circle has a diameter of 32 cm. How far from the center of the circle, to the nearest centimeter is a chord 20 cm. long?      Log On


   



Question 1065606: A circle has a diameter of 32 cm. How far from the center of the circle, to the nearest centimeter is a chord 20 cm. long?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Imagine center at the origin (0,0) of circle and radius 16, on a cartesian system. The chord above the x-axis and parallel to it, is bisected by the vertical axis of the cartesian system.

x%5E2%2By%5E2=16%5E2.

You have x=20%2F2=10.
Solve for y.