1 / 14

Circles

Circles. The equation of a circle. What characterizes every point ( x , y ) on the circumference of a circle?. Every point ( x , y ) is the same distance r from the center.  Therefore, according to the Pythagorean distance formula for the distance of a point from the origin:.

tambre
Télécharger la présentation

Circles

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Circles

  2. The equation of a circle • What characterizes every point (x, y) on the circumference of a circle?

  3. Every point (x, y) is the same distance r from the center.  Therefore, according to the Pythagorean distance formulafor the distance of a point from the origin:

  4. The equation of a circle of radius r, with center at the origin (0, 0). • Where r is the radius. • The center of the circle, (0,0) is its Locator Point.

  5. Examples • x² + y² = 64 • (x-3)² + y² = 49 • x² + (y+4)² = 25 • (x+2)² + (y-6)² = 16

  6. Circles Translated and Stretched (x-h)² + (y-k)² = r²

  7. (x-h)² + (y-k)² = r² • x² + (y-3)² = 4²

  8. (x-h)² + (y-k)² = r² • (x-1)² + (y-1)² = 25

  9. CirclesExample 1 Write the equation of the circle with the point (4,5) on the circle and the origin as it’s center.

  10. Example 1 Point (4,5) on the circle and the origin as it’s center.

  11. Example 2Find the intersection points on the graph of the following two equations

  12. Now what??!!??!!??

  13. Example 2Find the intersection points on the graph of the following two equations Plug these in for x.

  14. Example 2Find the intersection points on the graph of the following two equations Back to Conics

More Related