1 / 51

Understanding Circles: Key Terms and Equation Fundamentals in Geometry

Explore essential concepts related to circles, including chords, tangents, arcs, and inscribed angles. Learn about specific terms like point of tangency and minor arcs, alongside foundational equations of circles. This content covers both the theoretical aspects and practical examples, helping you solve for unknown variables using geometry principles. Perfect for students grasping circle properties and equations in mathematics. Enhance your understanding of geometric figures and their measurements through clear explanations and examples.

brandee-canute
Télécharger la présentation

Understanding Circles: Key Terms and Equation Fundamentals in 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. 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. Vocabulary Arcs Segments Equations of Circles Angles 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. A line that intersects a circle at exactly one point.

  3. What is a tangent?

  4. An arc that measures less than 180 degrees.

  5. What is a minor arc?

  6. An angle with a vertex on the circle and legs in the interior of the circle.

  7. What is an inscribed angle?

  8. A point where a circle meets a tangent.

  9. What is a point of tangency?

  10. A segment that has its endpoints on the circle.

  11. What is a chord?

  12. A C If chord AC = chord CD, then what can we assume about their arcs? B D

  13. arc AB = arc CD

  14. B C Find the measure of arc AD. 7xo (5x+18)o A D

  15. 94.5o

  16. 130o Find x. xo

  17. X = 100o

  18. A (4x + 50)o 30o 3xo C B Find the measure of arc AB

  19. 90o

  20. If the radius of the circle is 9, what is the arc length of AB? A B 700 C

  21. 17.3

  22. 5 x Find x. 4 2

  23. X = 10

  24. 5x+27 Find x. Assume that segments that appear to be tangent are tangent. 14x

  25. 3

  26. Find x. 16 x 12 Assume that segments that appear to be tangent are tangent.

  27. 13.9

  28. 5 x 3 9 Find x.

  29. 4

  30. Find x. X+16 16 x

  31. 8

  32. In an equation of a circle, the (h, k) values represent the __________________ and the sum represents the ____________________.

  33. Center coordinates, radius squared

  34. A circle with the equation (x-8)2 + (y+13)2 = 196 would have a center at ______ and a radius of ______.

  35. (8, -13) r = 14

  36. Write the equation of a circle with a center at (-3,6) and a radius endpoint at (0,6)

  37. (x+3)2 + (y-6)2 = 9

  38. Graph the circle with the equation: x2 + (y-2)2 = 25

  39. Write an equation for a circle whose diameter has endpoints (-2, 2) and (2, 2)

  40. X2 + (y-2)2 = 4

  41. Find the measure of x if the measure of arc ACB is 225. A B xo C

  42. 135o

  43. 75o Find m<x. xo

  44. 37.5o

  45. Find x. Assume segments that appear to be tangents are tangent. xo

  46. 90o

  47. AB is a diameter. Find the m<ACB and m<ADB. A D B C

  48. 90o, 90o

  49. Find the m<AED. B A E 94o 74o D C 92o

More Related