

Angle and Arcs in a Circle
Presentation
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Medium
+1
Standards-aligned
Heather Roberts
Used 100+ times
FREE Resource
9 Slides • 8 Questions
1
Angle and Arcs in a Circle

2
Central Angles and Arc
MGSE9-12.G.C.1 Understand that all circles are similar.
MGSE9-12.G.C.2 Identify and describe relationships among
inscribed angles, radii, chords, tangents, and secants. Include
the relationship between central, inscribed, and circumscribed
angles; inscribed angles on a diameter are right angles; the
radius of a circle is perpendicular to the tangent where the
radius intersects the circle.
3
Intro to Arc in a cirlce
Hey guys remember a circle 360 degrees and a portion of a circle is called an Arc, which looks like a slice of pizza. There are three types of Arcs called Minor, Major, and Semicircle.
4
Multiple Choice
How many degrees does a circle have?
less than 180
equal to 180
more than 180
360
5
6
7
8
Arc Labels
A minor arc is labeled with 2 letters, for example AX
9
Multiple Choice
How many degrees does a major arc have?
less than 180
equal to 180
more than 180
360
10
Multiple Choice
How many degrees does a semicircle have?
less than 180
equal to 180
more than 180
360
11
Multiple Choice
How many degrees does a minor arc have?
less than 180
equal to 180
more than 180
360
12
Multiple Select
Check all that is true about the Arcs in the circle
XB is a Major Arc
XAY is a semicircle
XYA is a Major Arc
XB is a semicircle
13
Things to know as we find the measure of an Arc.
There are 360 degrees in a circle
There are 180 degrees in a semicircle
A diameter a line that goes though the center of a circle splitting the into two semicircles.
Central angle is where two radii form an angle at the center of a circle.
The measure of the arc equal to the measure of the central angle
14
Identify Arc angles
Central angle is where two radii meet at the center of the circle.
Arc angle equal to the central angle
Inscribed Angle: an angle made from points sitting on the circle's circumference.
Central angles are subtended by an arc between those two points
The vertex is the center of the circle.
15
Multiple Choice
16
Multiple Choice
What is the value of x?
x = 160
x = 40
x = 80
x = 360
17
Multiple Choice
Angle and Arcs in a Circle

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