Exploring Central and Inscribed Angles

Mrs. Neeson introduces the topic of circles, focusing on arcs and angles. The video covers the basics of circle measurements, including major and minor arcs, and semicircles. It then delves into central angles, explaining their properties and how they relate to arcs. The lesson progresses to inscribed angles, highlighting their unique relationships with arcs. Finally, the video explores advanced concepts like angles formed by chords and tangents, providing a comprehensive understanding of circle geometry.

What is the total degree measure of a circle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

What defines a major arc in a circle?

• Less than 180 degrees

• Exactly 180 degrees

• More than 180 degrees

• Less than 90 degrees

How is the measure of a central angle related to its intercepted arc?

• The same as the measure of the arc

• Twice the measure of the arc

• Half the measure of the arc

• No relation

Tags

CCSS.HSG.C.A.2

If a central angle measures 32 degrees, what is the measure of its intercepted arc?

• 64 degrees

• 48 degrees

• 32 degrees

• 16 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of a semicircle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of an inscribed angle if its intercepted arc measures 152 degrees?

• 76 degrees

• 304 degrees

• 38 degrees

• 152 degrees

Tags

CCSS.HSG.C.A.2

What type of angle is formed when a chord and a tangent intersect outside the circle?

• Central angle

• Vertical angle

• Inscribed angle

• Tangent angle

Tags

CCSS.HSG.C.A.2

What is the relationship between an angle formed by a tangent and a chord, and its intercepted arc?

• The angle is equal to the arc

• The angle is half the arc

• The angle is twice the arc

• The angle is one-fourth the arc

Tags

CCSS.HSG.C.A.2

If angle ABC is inscribed in a semicircle, what is its measure?

• 45 degrees

• 30 degrees

• 90 degrees

• 180 degrees

Tags

CCSS.HSG.C.A.2

If an inscribed angle measures 45 degrees, what is the measure of its intercepted arc?

• 22.5 degrees

• 180 degrees

• 90 degrees

• 45 degrees

Tags

CCSS.HSG.C.A.2