12-5 Circles in the Coordinate Plane
Objectives
To write the equation of a circle
To find the center and radius of a circle
Dynamic Activity
Circles in the Coordinate Plane
Lesson Vocabulary
- standard form of an equation of a circle
In the Solve It, all of the obstacles lie within or on a circle with the base station as the center. The information from the diagram is enough to write an equation for the circle.
Essential Understanding The information in the equation of a circle allows you to graph the circle. Also, you can write the equation of a circle if you know its center and radius.
Take Note Theorem 12-16: Equation of a Circle
An equation of a circle with center (h, k) and radius r is
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs