SOLUTION: A chord of a circle is 32 meters long and it is 30 meters from the center of the circle. find the diameter of the circle

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Question 755754: A chord of a circle is 32 meters long and it is 30 meters from the center of the circle. find the diameter of the circle
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A chord of a circle is 32 meters long and it is 30 meters from the center of the circle. find the diameter of the circle
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(r+30)*(2r-30) = 256

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=2537 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 17.6843205189261, -32.6843205189261. Here's your graph:

===============
r = 17.6843
d = 35.3686 meters
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