Exploring Central and Inscribed Angles in Circles

This video tutorial by Terry Vanoi covers the concepts of central and inscribed angles in a circle, explaining how these angles relate to the arcs they create. The video provides examples to illustrate these relationships and offers additional resources on the Math Powerline website. The tutorial concludes with contact information for further assistance.

What is the total degree measure of any circle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the arc measure of a central angle of 90 degrees?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

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

• There is no relationship

• The arc and the angle have the same measure

• The angle is twice the arc

• The arc is twice the angle

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CCSS.HSG.C.B.5

What is the arc measure of a central angle of 180 degrees?

• 270 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What type of arc does a 180-degree central angle create?

• Quarter circle

• Semicircle

• Full circle

• Minor arc

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CCSS.HSG.C.B.5

What is the measure of an inscribed angle that creates a 40-degree arc?

• 10 degrees

• 80 degrees

• 40 degrees

• 20 degrees

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CCSS.HSG.C.A.2

An inscribed angle's measure is always what fraction of the arc it creates?

• One-fourth

• One-third

• One-half

• Two-thirds

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CCSS.HSG.C.A.2

If an arc is 70 degrees, what is the measure of the inscribed angle?

• 35 degrees

• 17.5 degrees

• 70 degrees

• 140 degrees

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CCSS.HSG.C.A.2

Does the position of an inscribed angle change its measure if it subtends the same arc?

• It depends on the circle's radius

• No, it remains the same

• Yes, it decreases

• Yes, it increases

Tags

CCSS.HSG.C.A.2

How can you access more resources from the video's creator?

• Visiting the math powerline website

• All of the above

• Sending an email

• Making a phone call