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Equation for a Circle - Algebra 2














































The equation given below defines a circle. What is the y-coordinate of the center of the circle?

(x - 6)2 + (y + 5)2 = 212

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Jan 22, 2010
Equation for a Circle
by: Staff

The problem


The equation given below defines a circle. What is the y-coordinate of the center of the circle?

(x - 6)^2 + (y + 5)^2 = 212


The solution


1. The standard equation for a circle is:

(x – circle center “x” coordinate)^2 + (y – circle center “y” coordinate)^2 = (radius of the circle)^2


2. The equation given is

(x - 6)^2 + (y + 5)^2 = 212


3. Therefore, the coordinates for the center of the circle are: (6,-5)

“x” coordinate for center of the circle: +6 [not -6; the center coordinate is a +6]

“y” coordinate for center of the circle: -5 [not +5; the center coordinate is a -5]


Staff
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