Arcs and Central Angles
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Transcript of Arcs and Central Angles
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Geometry
Mr. Bower
BowerPower.net
![Page 2: Arcs and Central Angles](https://reader030.fdocuments.in/reader030/viewer/2022032706/56812f2e550346895d94c1b7/html5/thumbnails/2.jpg)
Central Angles
The vertex is the center of the circle The sides are radii of the circle
![Page 3: Arcs and Central Angles](https://reader030.fdocuments.in/reader030/viewer/2022032706/56812f2e550346895d94c1b7/html5/thumbnails/3.jpg)
Central Angles
XCY is a central angle YOU Name two more central angles
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Central Angles
What is the sum of the red, blue, and green central s?
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Arcs
The measure of = measure of its an arc central angle
mXCY = 80°
m XY = 80°
![Page 6: Arcs and Central Angles](https://reader030.fdocuments.in/reader030/viewer/2022032706/56812f2e550346895d94c1b7/html5/thumbnails/6.jpg)
Arcs
The measure of = measure of its an arc central angle
mZCY = ???°
m ZY = ???°
![Page 7: Arcs and Central Angles](https://reader030.fdocuments.in/reader030/viewer/2022032706/56812f2e550346895d94c1b7/html5/thumbnails/7.jpg)
Arcs
The measure of = measure of its an arc central angle
mZCX = ???°
m ZX = ???°
![Page 8: Arcs and Central Angles](https://reader030.fdocuments.in/reader030/viewer/2022032706/56812f2e550346895d94c1b7/html5/thumbnails/8.jpg)
Arcs
What is the sum of the red, blue, and green arcs?
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Minor Arcs
Minor arcs are < 180° When you see exactly two letters, this is
a minor arc
m ZX = 160°
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Major Arcs
Major arcs are > 180° When you see three letters, follow the
path of the letters… it may be a major arc
m ZYX = 200°
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Semicircle
A semicircle is an arc = 180° Do you see that the central angles are
also 180°?
m AMB = 180°
m ANB = 180°
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