In this math video we will learn how to write the equation of a circle. We will review the formula to write the equation of a circle given the center (h, k) and the radius r. We will understand that h represents the x coordinate of the center point of a circle and k represent the y coordinate of the center point in a coordinate plane. We will also review that r represents the length of the radius of the circle. An equation of a circle is written in terms of x and y where x and y represent any point on the circle (x, y). You will be presented with a practice problem where you are given the center and the radius of a circle and asked to write the equation of the circle. An exemplar solution will be modeled and explained showing how to write using the center (h, k) and the radius r.

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Geometry
Expressing Geometric Properties with Equations

G-GPE.A.1 Identify the equation of a circle given its center and radius.