Exploring Arcs and Central Angles

What is a central angle in a circle?

• An angle formed by the intersection of two chords

• An angle formed outside the circle

• An angle formed by two radii with the vertex at the center of the circle

• An angle formed by two tangents to the circle

If a central angle measures 70 degrees, what is the measure of its intercepted arc?

• 70 degrees

• 35 degrees

• 140 degrees

• 90 degrees

What is the measure of an arc formed by a diameter?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

How do you find the measure of an angle formed by a straight line through the center of a circle?

• Subtract the angle from 360 degrees

• It is always 180 degrees

• Multiply the angle by 2

• Divide the angle by 2

If two angles are vertical angles, what can be said about their measures?

• They are complementary

• They are supplementary

• They are congruent

• They are both acute angles

What is the measure of an angle opposite to a 40-degree angle in a pair of vertical angles?

• 40 degrees

• 180 degrees

• 140 degrees

• 80 degrees

What is the relationship between an inscribed angle and its intercepted arc?

• The arc's measure is half the angle's measure

• The arc's measure is three times the angle's measure

• The arc's measure is twice the angle's measure

• The arc's measure is equal to the angle's measure

If an inscribed angle measures 30 degrees, what is the measure of its intercepted arc?

• 90 degrees

• 60 degrees

• 30 degrees

• 15 degrees

How do you find the measure of an inscribed angle if you know the measure of its intercepted arc is 100 degrees?

• 50 degrees

• 25 degrees

• 100 degrees

• 200 degrees

If the arc intercepted by an inscribed angle is 120 degrees, what is the measure of the inscribed angle?

• 30 degrees

• 60 degrees

• 120 degrees

• 240 degrees