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Maths-

SAT

Easy

Question

x ²- 6x + y ² - 8y = 0
The graph of the given equation in the xy-plane is a circle. What is the radius of the circle?

2
3
4
5

The correct answer is: 5

$x squared minus 6 x plus y squared minus 8 y equals 0 x squared minus space 2 left parenthesis 3 right parenthesis x plus space 3 squared minus space 3 squared space plus space y squared space minus space 2 left parenthesis 4 right parenthesis y plus 4 squared minus 4 squared equals 0 left parenthesis x minus 3 right parenthesis squared plus left parenthesis y minus 4 right parenthesis squared equals 3 squared plus 4 squared equals 5 squared left parenthesis x minus 3 right parenthesis squared plus left parenthesis y minus 4 right parenthesis squared equals 5 squared space r a d i u s space equals 5$

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Note: Figure not drawn to scale.
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