Exploring Central and Inscribed Angles

What is the total degree measure of a circle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

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

• The central angle is twice the measure of the arc.

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

• The central angle and the arc have the same measure.

• There is no relationship.

If a central angle measures 76 degrees, what is the measure of its intercepted arc?

• 38 degrees

• None of the above

• 76 degrees

• 152 degrees

What is the measure of an inscribed angle if its intercepted arc measures 102 degrees?

• 102 degrees

• 204 degrees

• 51 degrees

• 25.5 degrees

If an inscribed angle measures 75 degrees, what is the measure of its intercepted arc?

• 150 degrees

• 75 degrees

• 37.5 degrees

• 300 degrees

How do you find the measure of an angle when given the measure of its intercepted arc in an inscribed angle scenario?

• Subtract the arc measure from 360

• Divide the arc measure by 2

• Multiply the arc measure by 2

• Add 180 to the arc measure

In solving for x, if an angle measure is given as 4x + 16 and the arc measure is 120, what is x?

• 16

• 34

• 26

• 11

What is the total measure of all arcs in a circle?

• 90 degrees

• 360 degrees

• 720 degrees

• 180 degrees

If the entire circle's arc measures add up to 359x + 1, and the total degrees of a circle is 360, what is x?

• 0

• 359

• 1

• 360

When solving for x in an inscribed angle problem, which method can be used?

• Dividing the arc measure by 2

• Multiplying the angle measure by 2

• Both A and B

• None of the above