Ccgps geometry
This presentation is the property of its rightful owner.
Sponsored Links
1 / 18

CCGPS Geometry PowerPoint PPT Presentation


  • 70 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.

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

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

EOCT Practice Question

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

  • a.)c.)

  • b.)d.)


Circle

Circle:

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

  • What is its radius?


Equations of circles

Equations of Circles


Ccgps geometry

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

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

Writing Equations of Circles

Write the standard equation of the circle:

Center (4, 7) Radius of 5

(x – 4)2 + (y – 7)2 = 25


Ccgps geometry

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 circles1

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

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

Graphing Circles

(x – 3)2 + (y – 2)2 = 9

Center (3, 2)

Radius of 3


Graphing circles1

Graphing Circles

(x + 4)2 + (y – 1)2 = 25

Center (-4, 1)

Radius of 5


Graphing circles2

Graphing Circles

(x – 5)2 + y2 = 36

Center (5, 0)

Radius of 6


Ccgps geometry

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.


Ccgps geometry

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


  • Login