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You are here: Home / ACT Practice Questions / ACT Practice Question: Circles in Coordinate Geometry

ACT Practice Question: Circles in Coordinate Geometry

November 20, 2014 Leave a Comment

 
Here is a practice question on how the equation of a circle in the coordinate plane is related to the coordinates of its center and radius.

In the standard $(x, y)$ plane, a circle has a center at $(2, -3)$ and a circumference of $8\pi$. Which of the following is an equation for this circle?

  1. $\quad (x-2)^2 + (y-3)^2 = 16$
  2. $\quad (x+2)^2 + (y-3)^2 = 16$
  3. $\quad (x-2)^2 + (y+3)^2 = 16$
  4. $\quad (x+2)^2 + (y-3)^2 = 64$
  5. $\quad (x-2)^2 + (y+3)^2 = 64$

Choice C

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