Download The sum of the measures of the central angles of a circle with no

Geometry Unit 11 Note Sheets 2016
Measuring Angles and Arcs Part 1 Notes
Sum of Central Angles
The$sum$of$the$measures$of$the$central$
angles$of$a$circle$with$no$interior$points$
in$common$is$360$
!∠! + !∠! + !∠! = !"#$
Guided Practice
1. Find the value of x.
Your Turn
2. Find the value of x.
Arc
A$portion$of$a$circle$defined$
by$two$endpoints.$
The$Arc$is$the$same$measure$
as$the$central$angle.
Arcs and Arc Measures
Minor Arc
The$shortest$arc$connecting$two$
endpoints$on$a$circle$and$is$less$than$
!"#°$
Major Arc
The$shortest$arc$connecting$two$
endpoints$on$a$circle$and$is$between$!"#°$
and$!"#°$
Semicircle
An$arc$with$endpoints$that$lie$on$a$
diameter$and$measures$!"#°
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Geometry Unit 11 Note Sheets 2016
Guided Practice
!" is the diameter of ⊙ !. Identify each arc as a major arc, minor arc, or semicircle. Then find the measure.
3.
4.
Your Turn
Guided Practice
Refer to the circle graph. Find each measure.
8.
9.
Your Turn
Refer to the circle graph. Find each measure.
10.
11.
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