Understanding Arcs and Central Angles

The video tutorial explains the concept of central angles and their relationship with arcs in a circle. It covers the definitions and characteristics of minor arcs, semicircles, and major arcs, emphasizing that the measure of an arc is equal to the measure of its central angle. The tutorial also provides examples of how to identify and calculate the measures of different types of arcs, using the properties of circles and angles.

What is the measure of a minor arc in relation to a circle?

• Less than 90 degrees

• Less than 180 degrees

• Equal to 180 degrees

• Greater than 180 degrees

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CCSS.4.MD.C.5B

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How does the measure of a semicircle compare to a full circle?

• It is one-fourth of a circle

• It is one-third of a circle

• It is equal to a full circle

• It is half of a circle

What defines a major arc?

• An arc that is less than 90 degrees

• An arc that is greater than 180 degrees

• An arc that is equal to 90 degrees

• An arc that is exactly 180 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

If a central angle measures 70 degrees, what is the measure of the corresponding arc?

• 180 degrees

• 360 degrees

• 110 degrees

• 70 degrees

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CCSS.4.MD.C.5B

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What is the measure of a semicircle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

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CCSS.HSG.C.B.5

How do you calculate the measure of a major arc?

• Double the measure of the minor arc

• Divide the measure of the minor arc by 2

• Add the measures of all minor arcs

• Subtract the measure of the minor arc from 360 degrees

What is the measure of an arc if the central angle is 60 degrees?

• 240 degrees

• 120 degrees

• 180 degrees

• 60 degrees

How many letters are used to name a major arc?

• One

• Two

• Four

• Three

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of a minor arc if the central angle is 50 degrees?

• 200 degrees

• 150 degrees

• 100 degrees

• 50 degrees

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What is the relationship between a central angle and its intercepted arc?

• The arc is unrelated to the central angle

• The arc is twice the central angle

• The arc is half the central angle

• The arc is equal to the central angle

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CCSS.HSG.C.A.2