Circle Geometry Angle Relationships

This video tutorial covers various types of angles related to circles, including central angles, inscribed angles, tangent chord angles, angles formed by intersecting chords, and angles formed outside the circle by tangents and secants. It also explains the tangent radius angle, which is always 90 degrees. Each angle type is described with examples and formulas to calculate their measures.

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

• The central angle is double the intercepted arc.

• The central angle is equal to the intercepted arc.

• The central angle is unrelated to the intercepted arc.

• The central angle is half the intercepted arc.

If an inscribed angle intercepts an arc of 100°, what is the measure of the inscribed angle?

• 100°

• 25°

• 50°

• 200°

How is a tangent chord angle formed?

• By a tangent and a secant

• By two chords

• By a tangent and a chord

• By two tangents

What is the measure of a tangent chord angle if the intercepted arc is 120°?

• 120°

• 60°

• 30°

• 90°

How do you find the measure of an angle formed inside a circle by two intersecting chords?

• By taking half the sum of the intercepted arcs

• By taking the sum of the intercepted arcs

• By taking the difference of the intercepted arcs

• By taking half the difference of the intercepted arcs

What is the measure of an angle formed by two tangents outside a circle if the larger arc is 260° and the smaller arc is 100°?

• 80°

• 130°

• 60°

• 160°

How do you calculate the measure of an angle formed by two secants outside a circle?

• By taking the difference of the intercepted arcs

• By taking the sum of the intercepted arcs

• By taking half the difference of the intercepted arcs

• By taking half the sum of the intercepted arcs

What is the measure of an angle formed by a tangent and a secant if the larger arc is 100° and the smaller arc is 30°?

• 50°

• 70°

• 40°

• 35°

What is the unique property of a tangent radius angle?

• It is always 45°

• It is always 180°

• It is always 90°

• It is always 60°