Graphing Circles - Center Coordinate and Radius to Equation (Level 1) - Mobius Math Academy

Graphing Circles - Center Coordinate and Radius to Equation

Level 1

This math topic focuses on graphing circles by deriving the equation of a circle using its center coordinates and radius. It is part of a broader unit on graphing circles, targeting fundamental skills in understanding and applying the standard formula for a circle in a coordinate plane. This specific skill development supports students in building competency in both analytical and geometric interpretations, vital for further studies in geometry and algebraic application within coordinate systems.

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

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Graphing Circles - Center Coordinate and Radius to Equation Worksheet

Graphing Circles - Center Coordinate and Radius to Equation

$A LaTex expression showing C=(-2,-1)\\r=2$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x+2) to the power of 2 + (y+1) to the power of 2 = 2 to the power of 2

A LaTex expression showing (x-2) to the power of 2 + (y+1) to the power of 2 = 2 to the power of 2

$A LaTex expression showing C=(-5,3)\\r=4$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x+5) to the power of 2 + (y-3) to the power of 2 = 4 to the power of 2

A LaTex expression showing (x+5) to the power of 2 + (y+3) to the power of 2 = 4 to the power of 2

$A LaTex expression showing C=(-1,1)\\r=4$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x-1) to the power of 2 + (y+1) to the power of 2 = 4 to the power of 2

A LaTex expression showing (x+1) to the power of 2 + (y-1) to the power of 2 = 4 to the power of 2

$A LaTex expression showing C=(2,-5)\\r=1$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x-2) to the power of 2 + (y+5) to the power of 2 = 1 to the power of 2

A LaTex expression showing (x-2) to the power of 2 + (y-5) to the power of 2 = 1 to the power of 2

$A LaTex expression showing C=(-6,5)\\r=3$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x+6) to the power of 2 + (y-5) to the power of 2 = 3 to the power of 2

A LaTex expression showing (x-6) to the power of 2 + (y+5) to the power of 2 = 3 to the power of 2

$A LaTex expression showing C=(-3,-6)\\r=2$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x+3) to the power of 2 + (y+6) to the power of 2 = 2 to the power of 2

A LaTex expression showing (x-3) to the power of 2 + (y-6) to the power of 2 = 2 to the power of 2

$A LaTex expression showing C=(3,4)\\r=2$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x-3) to the power of 2 + (y-4) to the power of 2 = 2 to the power of 2

A LaTex expression showing (x-3) to the power of 2 + (y+4) to the power of 2 = 2 to the power of 2

$A LaTex expression showing C=(5,-6)\\r=4$

Which equation would have this center coordinate and radius?

A LaTex expression showing (x+5) to the power of 2 + (y-6) to the power of 2 = 4 to the power of 2

A LaTex expression showing (x-5) to the power of 2 + (y+6) to the power of 2 = 4 to the power of 2