Exploring Inscribed Angles in Geometry

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

• There is no relationship between a central angle and its intercepted arc.

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

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

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

Where is the vertex of an inscribed angle located?

• At the center of the circle

• On the circle's edge

• Inside the circle but not at the center

• Outside the circle

How is the measure of an inscribed angle related to its intercepted arc?

• The inscribed angle is twice the measure of the intercepted arc.

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

• The inscribed angle is equal to the intercepted arc.

• There is no relationship between an inscribed angle and its intercepted arc.

What is the measure of an angle formed by two chords that intersect inside a circle?

• Twice the measure of the intercepted arc

• The sum of the measures of the intercepted arcs

• Half the sum of the measures of the intercepted arcs

• There is no specific measure for this angle

What is the measure of an arc intercepted by an inscribed angle of 40 degrees?

• 20 degrees

• 40 degrees

• 80 degrees

• 160 degrees

If an inscribed angle measures 50 degrees, what is the measure of its intercepted major arc in a circle?

• 50 degrees

• 100 degrees

• 200 degrees

• 150 degrees

Given an inscribed angle of 30 degrees, what is the measure of the arc it intercepts?

• 15 degrees

• 60 degrees

• 120 degrees

• 30 degrees

If two inscribed angles intercept the same arc, how are the angles related?

• The angles are complementary.

• The angles are supplementary.

• The angles are congruent.

• The angles have no specific relationship.

If an inscribed angle intercepts a semicircle, what is the measure of the angle?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

In a circle, if the diameter is 8.3 units, what is the radius of the circle?

• Cannot be determined from the given information

• 16.6 units

• 8.3 units

• 4.15 units