unit 5: conics
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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. - PowerPoint PPT PresentationTRANSCRIPT
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.
1)
2)
Write the equation of the circle in standard form. Then identify the center and radius.