A circle is drawn on the Cartesian coordinate system with axes labeled x and y, both ranging from -5 to 5. The point at the topmost part of the circle farthest from the center is at coordinates $\left(0,2\right)$(0,2). The point at the bottommost part of the circle farthest from the center is at coordinates $\left(0,-2\right)$(0,−2). The point at the leftmost part of the circle farthest from the center is at coordinates $\left(-2,0\right)$(−2,0). The point at the rightmost part of the circle farthest from the center is at coordinates $\left(2,0\right)$(2,0). The coordinates are not explicitly labeled in the image.

State the coordinates of the center in the form $\left(a,b\right)$(a,b).

State the radius.

Easy

< 1min

Consider the graph of the circle shown below.

Easy

< 1min

Consider the circle in the graph.

Easy

< 1min

The equation of a circle is given by $x^2+y^2=32$x2+y2=32

Easy

1min

Outcomes

M1.G.GPE.A.1

Use coordinates to justify geometric relationships algebraically and to solve problems.

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

10.07 Circles in the coordinate plane

Interactive practice questions

Outcomes

M1.G.GPE.A.1

M1.MP1

M1.MP3

M1.MP4

M1.MP5

M1.MP6

M1.MP7

M1.MP8

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