central and inscribed angles

Arc & Angle Review

• Central Angle - An angle whose vertex is at the center of the circle

• Minor Arc - Points that lie on the interior of the central angle with a measure less than 180 degrees

• Major Arc - The remaining points of the circle that do not lie on the minor arc

• Semi Circle - An Arc measuring 180 degrees

Multiple Choice

Which is true of a minor arc?

• It forms half a circle.

• It forms a whole circle.

• It measures less than 180 degrees.

• It measures greater than 180

Multiple Choice

Which is true of a major arc?

• It forms half a circle.

• It forms a whole circle.

• It measures less than 180 degrees.

• It measure greater than 180

Multiple Choice

Which is true of a semi circle?

• It forms half a circle.

• It forms a whole circle.

• It measures less than 180 degrees.

• It measure greater than 180

Multiple Choice

The bolded portion of the circle is a.......

• Minor Arc

• Major Arc

• Semi-Circle

Multiple Choice

The bolded portion of the circle is a.......

• Minor Arc

• Major Arc

• Semi-Circle

Arc Review Continued

- Arc Measure - The number of degrees covered by an arc

- Circumference - The perimeter of a circle

- Arc Length - The length of an arc along its circumference

Multiple Choice

The distance along an arc

• area of a sector

• arc length

• arc of a circle

• sector of a circle

• arc measure

Multiple Select

Choose all of the correct answers.

• EAB is a major arc and its measure is 180 degrees

• EAB is a semicircle and its measure is 180 degrees

• ABC is a is a semicircle and its measure is 180 degrees

• DC is a minor arc and its measure is 65

Multiple Select

Choose all of the correct answers.

• BAC is a minor arc and its measure is 290 degrees

• ABC is a semicircle and its measure is 180 degrees

• EBD is a major arc and its measure is 315 degrees

• DC is a minor arc and its measure is 70 degrees

New Arc Vocab

• Recall: A central angle is an angle whose vertex is in the center of the circle

• Inscribed angles are created by two chords meeting ON the perimeter of the circle.

• Intercepted arc the portion of the circumference between the line segments of either the central angle or inscribed angle

Multiple Choice

An angle in a circle with vertex on the center of the circle

• Central angle
• Angle
• Inscribed angle
• Circle

Multiple Choice

An angle in a circle with vertex on the circle itself

• Angle
• Central angle
• Inscribed angle
• Chord

Multiple Choice

This is a picture of ___________.

• Major Arc
• Minor Arc
• Central Angle
• Inscribed Angle

Multiple Choice

Which number best represents an inscribed angle?

• 1
• 2
• 8
• 9

Multiple Choice

How many degrees are in a cirlce?

• 90
• 180
• 270
• 360