Worksheet: Equation of a Circle Passing through Three Noncollinear Points
In this worksheet, we will practice finding the equation of a circle passing through three noncollinear points that form a right triangle.
Find the general equation of the circle through the origin that also passes through and .
Find the general form of the equation of a circle that touches the -axis and passes through the two points and .
- A ,
- B ,
- C ,
- D ,
Find the centre of the circle through points , , and .
The points , , , and form a rectangle. What is the equation of the circle that contains all four points?
The coordinates for three of a group of aerialists in a circular formation are , , and . If each unit represents 1 foot, determine the diameter of their circular formation.
How many circles can pass through three vertices of a parallelogram?
Find the general equation of the circle if the circle touches the -axis at and intersects the -axis at and .