Solve problems in the coordinate plane involving equations of circles: i) given a graph or the equation of a circle in standard form, identify the coordinates of the center of the circle;

G.PC.4bii

Solve problems in the coordinate plane involving equations of circles: ii) given the coordinates of the endpoints of a diameter of a circle, determine the coordinates of the center of the circle.

G.PC.4biii

Solve problems in the coordinate plane involving equations of circles: iii) given a graph or the equation of a circle in standard form, identify the length of the radius or diameter of the circle.

G.PC.4bv

Solve problems in the coordinate plane involving equations of circles: v) 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; and

G.PC.4bvi

Solve problems in the coordinate plane involving equations of circles: vi) given the coordinates of the center and length of the radius of a circle, identify the coordinates of a point(s) on the circle.

G.PC.4ci

Determine the equation of a circle given: i) a graph of a circle with a center with coordinates that are integers;

G.PC.4cii

Determine the equation of a circle given: ii) coordinates of the center and a point on the circle;

G.PC.4ciii

Determine the equation of a circle given: iii) coordinates of the center and the length of the radius or diameter;

G.PC.4civ

Determine the equation of a circle given: iv) coordinates of the endpoints of a diameter.

12.04 Equations of circles

Interactive practice questions

Outcomes

G.PC.4

G.PC.4bi