This math topic focuses on the skill of graphing circles by understanding and translating their equations to find the radius. It is an introductory level exercise, denoted as Level 1, within a broader unit dedicated to graphing circles. The objective for learners is likely to grasp the relationship between the algebraic form of a circle's equation and its graphical representation by distinctly figuring out the radius from the equation. Such skills are essential for visualizing and solving geometry and coordinate graphing problems involving circles.

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Graphing Circles - Equation to Radius Worksheet

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Graphing Circles - Equation to Radius
1
What would the radius of this circle graph be?
A LaTex expression showing (x+1) to the power of 2 + (y+5) to the power of 2 = 1 to the power of 2
a A LaTex expression showing r=1
b A LaTex expression showing r=5
2
What would the radius of this circle graph be?
A LaTex expression showing (x-5) to the power of 2 + (y-4) to the power of 2 = 3 to the power of 2
a A LaTex expression showing r=9
b A LaTex expression showing r=3
c A LaTex expression showing r=4
d A LaTex expression showing r=5
3
What would the radius of this circle graph be?
A LaTex expression showing (x+6) to the power of 2 + (y+5) to the power of 2 = 4 to the power of 2
a A LaTex expression showing r=4
b A LaTex expression showing r=5
c A LaTex expression showing r=6
d A LaTex expression showing r=16
4
What would the radius of this circle graph be?
A LaTex expression showing (x+2) to the power of 2 + (y+4) to the power of 2 = 3 to the power of 2
a A LaTex expression showing r=2
b A LaTex expression showing r=9
c A LaTex expression showing r=4
d A LaTex expression showing r=3
5
What would the radius of this circle graph be?
A LaTex expression showing (x-2) to the power of 2 + (y-3) to the power of 2 = 4 to the power of 2
a A LaTex expression showing r=2
b A LaTex expression showing r=4
c A LaTex expression showing r=16
d A LaTex expression showing r=3
6
What would the radius of this circle graph be?
A LaTex expression showing (x) to the power of 2 + (y-4) to the power of 2 = 1 to the power of 2
a A LaTex expression showing r=0
b A LaTex expression showing r=4
c A LaTex expression showing r=1
7
What would the radius of this circle graph be?
A LaTex expression showing (x+6) to the power of 2 + (y-2) to the power of 2 = 1 to the power of 2
a A LaTex expression showing r=1
b A LaTex expression showing r=6
c A LaTex expression showing r=2
8
What would the radius of this circle graph be?
A LaTex expression showing (x+3) to the power of 2 + (y+1) to the power of 2 = 2 to the power of 2
a A LaTex expression showing r=3
b A LaTex expression showing r=4
c A LaTex expression showing r=1
d A LaTex expression showing r=2