1 / 11

10-1 Circles and Circumference

10-1 Circles and Circumference. Circle. The locus of all points in a plane equidistant from a given point called the center . Circles are named by their center point Chord - any segment with endpoints on the circle Diameter - The chord passing through the center of the circle

derek-mccormick
Télécharger la présentation

10-1 Circles and Circumference

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. 10-1 Circles and Circumference

  2. Circle • The locus of all points in a plane equidistant from a given point called the center. • Circles are named by their center point • Chord- any segment with endpoints on the circle • Diameter- The chord passing through the center of the circle • Radius- a segment whose endpoints are the center of the circle and a point on the circle

  3. Example: • Circle R has diameters ST and QM • If ST=18, find RS • If RM=24, find QM • If RN=2, find RP Q P S R T N M

  4. Examples: • Diameter of x = 22, diameter of Y =16 and diameter of Z =10 • Find EZ and XF X Y Z E G F

  5. Circumference • The distance around the circle • C = πd or C = 2πr (where π≈3.14, d is diameter and r is radius) Example: Find circumference if r = 13 inches

  6. Example: • Find the EXACT circumference

  7. 10-8 Equations of Circles

  8. Standard equation • For a circle with center (h, k) and radius r x and y are variables and must ALWAYS be in your answer!

  9. Example: Write the equation of the circle • With center (-1, 3) and radius • With endpoints of the diameter (4, 6) and (-2, 6)

  10. To graph a circle: • Find the center (h, k) (remember that the formula is x-h and y-k so when naming the center you do the opposite of the equation) Find the radius by taking the square root of the number after the = Plot the center and count out for the radius

  11. Graph each circle:

More Related