10.2 Circles 2p Class Notes.notebook

10.2 Circles 2p Class Notes.notebook
April 07, 2017
Unit 10, Conics
10.2 Circles
"Use and determine the standard forms of the equations
of a circle."
NCSCOC 1.02, "Use quadratic relations to model and solve
problems."
WIMD: What I must do:
• I will determine the standard form of the equation of a circle given the location of the center and a given radius.
• I will determine the general form of the equation of a circle given three points on the circle.
• I will use Completing the Square to derive the standard form from the general form of the equation of a circle.
Vocabulary: center
FYI: Conics are....
radius
p. #623
10.2 Circles 2p Class Notes.notebook
April 07, 2017
y
r
(x,y)
x
• I will determine the standard form of the equation of a circle given the location of the center and a given radius.
y
r
(x,y)
x
(h,k)
Standard form of the equation of a
Circle
10.2 Circles 2p Class Notes.notebook
Derive:
General Form of the Equation of a Circle • I will determine the general form of the equation of a circle given three points on the circle.
Find the standard form of the equation of a
circle located on points: (1,1), (1,2), (2,3)
April 07, 2017
10.2 Circles 2p Class Notes.notebook
April 07, 2017
• I will determine the general form of the equation of a circle given three points on the circle.
Find the standard form of the equation of a
circle located on points: (5,3), (-2,2), (-1,-5)
• I will use Completing the Square to derive the standard form from the general form of the equation of a circle.
Center @: (2.5,1.5)
radius = √2.5
10.2 Circles 2p Class Notes.notebook
April 07, 2017
• I will use Completing the Square to derive the standard form from the general form of the equation of a circle.
Center @: (2,-1)
radius: 5
Access Code: E7BE47BB9B
Homework
p627 #6-13
10.2 Circles 2p Class Notes.notebook
April 07, 2017
p627 #6-13
p627 #6-13
Attachments
Prentice Hall Algebra On lIne Resources