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How do you find the radius of the circle with the given equation of x2 plus y2-10x plus 4y plus 4 equals 0?
Wiki User
∙ 12y ago
Given:
x2 + y2 - 10x + 4y + 4 = 0
First, we'll move our constants to the right:
x2 + y2 - 10x + 4y = -4
Then group terms with the same variables together:
x2 - 10x + y2 + 4y = -4
Then complete the squares:
x2 - 10x + 25 + y2 + 4y + 4 = -4 + 25 + 4
(x - 5)2 + (y + 2)2 = 25
And there we have it. This is an equation for a circle whose center point is at (5, -2), with a radius of √25, which equals 5.
Wiki User
∙ 12y ago
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