Download presentation

Presentation is loading. Please wait.

Published byJane Legrand Modified over 2 years ago

1
Measuring Arcs and Central Angles

2
Measuring Arcs Arcs can be measured in two ways, by their length, or by degree For now, we will be measuring arcs only by degree.

3
Consider a whole circle In a whole circle, there are 360 degrees. A half circle, the arc between the end points of the diameter, measures 180 ̊.

4
Now, think about this…. If I cut the circle in half again, the new arc is 90 ̊. And the angle formed by the perpendicular diameters is a right angle … 90 ̊

5
Which Brings Us To……… THE CENTRAL ANGLE THEOREM! Remember: a CENTRAL ANGLE is an angle whose vertex is the center of the circle.

6
Central Angle Theorem The arc captured by the rays of a central angle has the same degree as that angle. 90 ̊

7
Central Angle Theorem The arc captured by the rays of a central angle has the same degree as that angle. 62 ̊ 120 ̊ 175 ̊

8
Assignment Pages 607-608 #20-38 skip #35

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google