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Graphing Circles - Equation Format and Variable to Variable Meaning

Level 1

This math topic focuses on understanding the equation format of a circle, specifically identifying the meanings of variables in the standard circle equation \((x-h)^2 + (y-k)^2 = r^2\). The worksheet contains multiple-choice questions regarding the significance of variables 'k', 'r', and 'h', such as determining which coordinate of the circle's center or the circle's radius they represent.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Graphing Circles - Equation Format and Variable to Variable Meaning Worksheet

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Graphing Circles - Equation Format and Variable to Variable Meaning
1
What does the variable 'k' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\k = ?
a
The y-coordinate of the center
b
The x-coordinate of the center
2
What does the variable 'r' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\r = ?
a
The radius of the circle
b
The x-coordinate of the center
3
What does the variable 'k' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\k = ?
a
The y-coordinate of the center
b
The radius of the circle
4
What does the variable 'r' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\r = ?
a
The y-coordinate of the center
b
The radius of the circle
5
What does the variable 'h' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\h = ?
a
The y-coordinate of the center
b
The x-coordinate of the center
6
What does the variable 'h' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\h = ?
a
The x-coordinate of the center
b
The radius of the circle
7
What does the variable 'r' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\r = ?
a
The y-coordinate of the center
b
The radius of the circle
8
What does the variable 'h' signify in this formula?
A LaTex expression showing (x-h) to the power of 2 + (y-k) to the power of 2 = r to the power of 2 \\h = ?
a
The radius of the circle
b
The x-coordinate of the center