10.3 C IRCLES. A is the set of all points in a plane that are equidistant from a given point in the plane called the. is a point on the circle is the.

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Presentation transcript:

10.3 C IRCLES

A is the set of all points in a plane that are equidistant from a given point in the plane called the. is a point on the circle is the center r is the radius circle center

Equation of a Circle : General Form of a Circle : *In general form, a circle has two square variables, both with the same positive coefficients

D ETERMINE THE EQUATION OF THE FORM FOR THE CIRCLE WITH THE GIVEN CENTER AND RADIUS. 1.

D ETERMINE THE EQUATION OF THE FORM FOR THE CIRCLE WITH THE GIVEN CENTER AND RADIUS. 2.

In order to graph an equation in general form, we need to put it in the form. We can do this by completing the square !

W RITE THE GIVEN EQUATION IN THE FORM GIVE THE CENTER AND RADIUS OF THE CIRCLE DEFINED BY THE EQUATIONS, AND SKETCH ITS GRAPH. 3.

W RITE THE GIVEN EQUATION IN THE FORM GIVE THE CENTER AND RADIUS OF THE CIRCLE DEFINED BY THE EQUATIONS, AND SKETCH ITS GRAPH. 4.

D ETERMINE THE EQUATION OF THE FORM FOR THE CIRCLE WITH CENTER C AND PASSING THROUGH THE POINT P. 5.

D ETERMINE THE EQUATION OF THE FORM FOR THE CIRCLE WITH CENTER C AND PASSING THROUGH THE POINT P. 6.

D ETERMINE THE EQUATION OF THE CIRCLE WITH A DIAMETER HAVING THE GIVEN ENDPOINTS. 7.

D ETERMINE THE EQUATION OF THE CIRCLE WITH A DIAMETER HAVING THE GIVEN ENDPOINTS. 8.

When graphing a circular inequality, graph the circle as normal. If the inequality is, shade outside the circle. If the inequality is, shade inside the circle. Follow rules for dashed and solid lines. 9. Sketch a graph of the inequality