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MA.912.G.6.6 Equations of Circles

What You Need To Know...

The equation of a circle in the coordinate plane.

  1. The benchmark will be assessed using MC (Multiple Choice) items.
  2. Items may have given information including the center and the radius of a circle and request the equation.
  3. 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 + (+ 2)2 = 5 
  4. (x - 3.7)2 + (+ 2)2 = 25  


Additional Examples



Equation of a Circle

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Given Radius and Center

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Reference Sheet