Angles in Circles
Presentation
•
Mathematics
•
10th Grade
•
Medium
Standards-aligned
Sarah Jacobsen
Used 447+ times
FREE Resource
7 Slides • 6 Questions
1
Angles in Circles
How to find arcs/angles in a circle
2
Central angle: angle=arc
Central angles have a vertex at the center of the circle. The arc created by the two radii is equal to the angle.
3
Fill in the Blanks
What is x?
Type answer...
4
Inscribed Angle: angle=1/2*arc or arc=2*angle
Inscribed angles must have a vertex touching the circle. The angle is half of the outside arc or the arc is twice the angle inside.
5
Fill in the Blanks
What is x?
Type answer...
6
Two Tangents: angle+arc=180
Two tangents create an angle and an arc (small arc). These two added together always equal 180.
7
Fill in the Blanks
What is x equal to?
Type answer...
8
External: angle=1/2(big arc - little arc)
When two secants meet outside of a circle, the angle is equal to half of the different of the arcs.
9
Fill in the Blanks
What is the measure of the missing angle?
Type answer...
10
Internal: angle=1/2(big arc + little arc)
When two secants meet inside the circle, the angle is equal to half of the sum of the arcs.
11
Fill in the Blanks
What is the measure of the internal angle?
Type answer...
12
Inscribed Quadrilateral: opposite angles =180
When a quadrilateral is inscribed in a circle, the opposite angles always add to 180.
13
Multiple Select
Select all equations that can be used to solve for x and y in the following inscribed quadrilateral.
Angles in Circles
How to find arcs/angles in a circle
Show answer
Auto Play
Slide 1 / 13
SLIDE
