The student will solve problems in the coordinate plane involving equations of circles.
G.PC.4bi
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.
