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Equations of Circles MA.912.G.6.6

Two-Dimensional

Student need to know...

The equation of a circle in the coordinate plane.

  • The benchmark will be assessed using MC (Multiple Choice) items.

  • Items may have given information including the center and the radius of a circle and request the equation.

  • Items may give the equation of a circle and request the center and the radius.

Example One

Circle Q has a radius of 5 units with center Q(3.7, -2).  Which of the following equations defines circle Q?

  1. (x + 3.7)2 + (y - 2)2 = 5

  2. (x + 3.7)2 + (y - 2)2 = 25 

  3. (x - 3.7)2 + (y + 2)2 = 5 

  4. (x - 3.7)2 + (y + 2)2 = 25  

Example Two
Equation of a Circle
Given Radius and Center
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