Arcs and Central Angles

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Geometry Mr. Bower BowerPower.net

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Geometry Mr. Bower BowerPower.net. Arcs and Central Angles. Central Angles. The vertex is the center of the circle The sides are radii of the circle. Central Angles.  XCY is a central angle YOU  Name two more central angles. Central Angles. - PowerPoint PPT Presentation

Transcript of Arcs and Central Angles

Page 1: Arcs and Central Angles

Geometry

Mr. Bower

BowerPower.net

Page 2: Arcs and Central Angles

Central Angles

The vertex is the center of the circle The sides are radii of the circle

Page 3: Arcs and Central Angles

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?

Page 5: Arcs and Central Angles

Arcs

The measure of = measure of its an arc central angle

mXCY = 80°

m XY = 80°

Page 6: Arcs and Central Angles

Arcs

The measure of = measure of its an arc central angle

mZCY = ???°

m ZY = ???°

Page 7: Arcs and Central Angles

Arcs

The measure of = measure of its an arc central angle

mZCX = ???°

m ZX = ???°

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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°

Page 12: Arcs and Central Angles

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