Unit 5: Conics

Feb. 3, 2012

What is Conics?

This is the short term for conic sections. - Conic Sections include circles, parabolas,

ellipses, and hyperbolas

Conic Sections are used to describe all of the possible ways a plane and a double right cone can intersect.

Conic Sections in the Real World

CONICS SECTIONS: CIRCLESNotes

Circles

Definition: A circle is the set of all points in a plane, equidistant from a given point, called the center.

Standard Form

(h, k) is the center

Write the following information in standard form

A circle with:

1. center (1, 3), radius 5 2. center (-2, 5), radius 3

3. center (20, 40), radius 10 4. center (12, -4), radius 30

5. center (), radius 1 6. center (0, 0), radius

Pick up a warm up from the front and begin!

Feb. 6, 2012

1st of Conics Sections: Circles1. Write down everything you know about the given Circle.

2. Write the standard form of a circle with a radius of 4 and a center at the origin.

3. Write the standard form of the equation of a circle that is tangent to the y-axis and has a center at (-5, 4).

4. Write the standard form of the equation of a circle that has its center at (7, -2) and passes through the point (12, 4).

Find the center of the circle and the radius of the following.

CONICS: DAY 2Feb. 7, 2012

Write the equation of the circle in standard form. Then identify the center and radius.

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