SOL Prep

Polygons and Circles

Virginia SOL G.PC.4

Solve problems in the coordinate plane involving equations of circles.

Study G.PC.4 with SOL PrepBack to Geometry

What students need to be able to do

  • Derive the equation of a circle given the center and radius using the Pythagorean Theorem.
  • Given a graph or the equation of a circle in standard form, identify the coordinates of the center of the circle.
  • Given the coordinates of the endpoints of a diameter of a circle, determine the coordinates of the center of the circle.
  • Given a graph or the equation of a circle in standard form, identify the length of the radius or diameter of the circle.
  • Given the coordinates of the endpoints of the diameter of a circle, determine the length of the radius or diameter of the circle.
  • Given the coordinates of the center and the coordinates of a point on the circle, determine the length of the radius or diameter of the circle.
  • Given the coordinates of the center and length of the radius of a circle, identify the coordinates of a point(s) on the circle.
  • Determine the equation of a circle given a graph of a circle with a center with coordinates that are integers.
  • Determine the equation of a circle given coordinates of the center and a point on the circle.
  • Determine the equation of a circle given coordinates of the center and the length of the radius or diameter.
  • Determine the equation of a circle given coordinates of the endpoints of a diameter.