1 / 12

Understanding Angles in and Out of Circles: Key Concepts and Examples

This guide explores the relationships between angles and arcs in circles, detailing key concepts such as central angles, inscribed angles, and angles formed outside the circle. We discuss how the measure of a central angle equals the measure of its intercepted arc, while an angle on the circle measures half of the arc it intercepts. Additionally, we provide several examples to illustrate how to calculate unknown angle measures based on given arcs and angles, enhancing comprehension of circular geometry.

gur
Télécharger la présentation

Understanding Angles in and Out of Circles: Key Concepts and Examples

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. Angles in and out of the circle • OOUT IN

  2. What we know so far • Central angle = arc • Angle ON the circle = ½ arc

  3. Vertex is inside the circle ARC A B ANGLE D C ARC Looks like a PLUS sign!

  4. Ex. 1 Find m1. 93° A B 1 D C 113°

  5. Ex. 2 Find mQT. N Q 84o 92o M T

  6. Ex 3: Find x. 40o xo 120o

  7. Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

  8. Ex. 4 Find m1. 1 15° A D 65° B

  9. Ex. 5 Find mAB. A 27° 70° B

  10. Ex. 6 Find m1. 260° 1

More Related