Circles, Central Angles, and Arcs

Presentation

•

Mathematics

•

10th Grade

•

Medium

Joseph Anderson

Used 3+ times

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5 Slides • 12 Questions

Multiple Choice

What are the measures of angle 3 and angle 4?

$m\angle3\ =\ 70\degree,\ m\angle4\ \ =\ 65\degree$

$m\angle3\ =\ 65\degree,\ m\angle4\ =\ 70\degree$

$m\angle3\ =110\degree,\ m\angle4\ =\ 105\degree$

$m\angle3\ =\ 105\degree,\ m\angle4\ =110\degree$

Central Angle

A central angle of a circle has a vertex at the center and is formed by two radii.
The measure of the central angle is the same as the measure of its corresponding arc of the circle.

Multiple Choice

Find the measure of $\angle AOB$

$m\angle AOB=27\degree$

$m\angle AOB=333\degree$

$m\angle AOB=207\degree$

$m\angle AOB=13.5\degree$

Fill in the Blanks

Solve for x. Just type in the numeric value.

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Fill in the Blanks

Find $m\angle POQ$

Just type in the numeric value.

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Inscribed Angle

An inscribed angle in a circle has a vertex on the circle and is formed by two chords.
The measure of an inscribed angle is half the measure of its corresponding arc of the circle.

Fill in the Blanks

Just type in the numeric value.

Type answer...

Multiple Choice

$m\angle PQR=68\degree$

$m\angle PQR=34\degree$

$m\angle PQR=292\degree$

$m\angle PQR=112\degree$

Exterior Angle

Fill in the Blanks

Solve for x. Just type in the numeric value.

Type answer...

Multiple Choice

Solve for x.

Multiple Choice

Find the measure of the central angle (pink angle, one question mark).

104 degrees

52 degrees

128 degrees

76 degrees

Multiple Choice

Find the measure of the exterior angle (blue angle, two question marks).

104 degrees

52 degrees

128 degrees

76 degrees

Interior Angle

An interior angle has a vertex inside the circle and is formed by two intersecting chords/secants.
The measure of an interior angle is half the sum of its corresponding arcs.
(arc1 + arc2)/2

Multiple Choice

What is the measure of the angle DBC?

$m\angle DBC=65\degree$

$m\angle DBC=87.5\degree$

$m\angle DBC=120\degree$

$m\angle DBC=62.5\degree$

Multiple Choice

Find the measure of $\angle KML$ .

$m\angle KML=10\degree$

$m\angle KML=75\degree$

$m\angle KML=42.5\degree$

$m\angle KML=47.5\degree$

What are the measures of angle 3 and angle 4?

$m\angle3\ =\ 70\degree,\ m\angle4\ \ =\ 65\degree$

$m\angle3\ =\ 65\degree,\ m\angle4\ =\ 70\degree$

$m\angle3\ =110\degree,\ m\angle4\ =\ 105\degree$

$m\angle3\ =\ 105\degree,\ m\angle4\ =110\degree$

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MULTIPLE CHOICE

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