Central Angles and Arc Lengths Quiz

What is a central angle in a circle?

• An angle formed by a tangent and a chord.

• An angle formed by two radii of a circle.

• An angle formed by two tangents.

• An angle formed by two chords of a circle.

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

• The central angle is double the measure of the intercepted arc.

• The central angle is equal to the measure of the intercepted arc.

• The central angle is unrelated to the intercepted arc.

• The central angle is half the measure of the intercepted arc.

How many degrees are there in a full circle?

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

In the first example, what is the value of X if the equation is 3x + 1 = 145?

• 47

• 48

• 49

• 50

What property of angles is used to solve for X in the first example?

• Complementary angles

• Vertical angles

• Adjacent angles

• Supplementary angles

In the second example, what is the measure of angle M?

• 45 degrees

• 118 degrees

• 62 degrees

• 73 degrees

What is the sum of angles in a half-circle?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

Which property of angles is used to find the measure of angle M in the second example?

• Adjacent angles

• Supplementary angles

• Complementary angles

• Vertical angles

What is the intercepted arc measure if the central angle is 45 degrees?

• 90 degrees

• 180 degrees

• 45 degrees

• 135 degrees

What is the key takeaway from the lesson on central angles and arcs?

• Central angles are always larger than their intercepted arcs.

• Central angles are unrelated to their intercepted arcs.

• Central angles are always smaller than their intercepted arcs.

• Central angles are equal to their intercepted arcs.