1 / 10

Tangents to Circles

Tangents to Circles. Lengths of the lines. More Pythagorean Theorem type problems! Yeah!! . Point of Tangency. If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. 1. Find x. A. 12. B. 9. x. a 2 + b 2 = c 2.

sirvat
Download Presentation

Tangents to 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. Tangents to Circles Lengths of the lines

  2. More Pythagorean Theorem type problems! Yeah!!  Point of Tangency If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

  3. 1. Find x A 12 B 9 x a2 + b2 = c2 92 + 122 = x2 x = 15

  4. 2. Find RQ a2 + b2 = c2 122 + (QR)2 = (8+12)2 P 122 + (QR)2 = 202 12 8 RQ = 16 R Q

  5. r2 + 242 = (r + 16)2 3. Find the radius. r2 + 576= r2 + 32r + 256 320= 32r 16 r = 10 A C 24 B

  6. S Party hat problems! If two segments from the same exterior point are tangent to a circle, then they are congruent. R T

  7. 4. Find x R S T

  8. 5. Find x C A B

  9. 6. Find x. B A C P D E

  10. 7. Find NP N T S P R Q

More Related