1 / 5

Conics: Circle

Conics: Circle. By: Jay, Tyler, Bailey, Grace, Ryan, and Jesse. Origin of a Circle. A circle is formed when a plane is put through a cone and it is perpendicular to the axis of the cone and intersects each generator. To construct a circle you need a fixed point (center), and a radius.

valin
Télécharger la présentation

Conics: Circle

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. Conics: Circle By: Jay, Tyler, Bailey, Grace, Ryan, and Jesse

  2. Origin of a Circle • A circle is formed when a plane is put through a cone and it is perpendicular to the axis of the cone and intersects each generator. • To construct a circle you need a fixed point (center), and a radius

  3. Forms of a Circle • Algebra II form: (x-a)² + (y-b)² = r² • Conic Form: Ax²+Cy²+Dx+Ey+F=0 if A=C • Rotated Form: Ax²+Bxy+Cy²+Dx+Ey+F=0 if B²-4AC<0 Standard Form: x²+y²=r² (at origin) (x-h)²+(y-k)²=r² (not at origin) Relationships – Center (a,b) or (h,k), radius= r Radius- Half the width, Diameter- The width

  4. Circle info • Degenerate Case – A circle with a radius of zero is a point, radius approaches 0, until it becomes a point. • Application – Changing the radius or origin to move the circle. • Eccentricity- The eccentricity of a circle is zero. Eccentricity is how much the conic deviates from being circular.

More Related