Ccgps geometry
Download
1 / 18

CCGPS Geometry - PowerPoint PPT Presentation


  • 93 Views
  • Uploaded on
  • Presentation posted in: General

CCGPS Geometry. UNIT QUESTION: How are the equations of circles and parabolas derived? Standard: MCC9-12 ..A.REI.7, G.GPE.1,2 and 4 Today’s Question: How is the equation of a circle derived? Standard: MCC9-12..G.GPE.1. EOCT Practice Question.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha

Download Presentation

CCGPS Geometry

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


CCGPS Geometry

UNIT QUESTION: How are the equations of circles and parabolas derived?

Standard: MCC9-12..A.REI.7, G.GPE.1,2 and 4

Today’s Question:

How is the equation of a circle derived?

Standard: MCC9-12..G.GPE.1


EOCT Practice Question

  • Use the Quadratic formula to find the solutions to the following quadratic equation:

  • a.)c.)

  • b.)d.)


Circle:

  • What are the coordinates of this circle’s center?

  • What is its radius?


Equations of Circles


Standard Form of a Circle

Circle with center at the origin (0,0)

Standard form of a circle that is translated

**Center: (h, k) Radius: r **


Finding the Equation of a Circle

Write the standard form of the equation for the circle that has a center at the origin and has the given radius.

1.r = 92.r = 143.


Writing Equations of Circles

Write the standard equation of the circle:

Center (4, 7) Radius of 5

(x – 4)2 + (y – 7)2 = 25


Writing Equations of Circles

Write the standard equation of the circle:

Center (-3, 8) Radius of 6.2

(x + 3)2 + (y – 8)2 = 38.44


Writing Equations of Circles

Write the standard equation of the circle:

Center (2, -9) Radius of

(x – 2)2 + (y + 9)2 = 11


Equation of a Circle

The center of a circle is given by (h, k).

The radius of a circle is given by r.

The equation of a circle in standard form is

(x – h)2 + (y – k)2 = r2


Graphing Circles

(x – 3)2 + (y – 2)2 = 9

Center (3, 2)

Radius of 3


Graphing Circles

(x + 4)2 + (y – 1)2 = 25

Center (-4, 1)

Radius of 5


Graphing Circles

(x – 5)2 + y2 = 36

Center (5, 0)

Radius of 6


To write the standard equation of a translated circle, you may need to complete the square.

Graphing a circle in Standard Form!!

Example:

Standard Form!! 

Center: (4, 0) r: 3


Write the standard equation for the circle. State the center and radius.


Write the standard equation for the circle. State the center and radius.


ad
  • Login