Arcs and Inscribed Angles

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

Define an inscribed angle.

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

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

Front

If the measure of arc AB is 68 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

34 degrees.

Front

What is the formula to find the measure of an arc?

Back

The measure of an arc can be found using the formula: Arc Measure = (Central Angle Measure) in degrees.

Front

How do you find the measure of a tangent line to a circle?

Back

The measure of the angle formed between a tangent line and a chord through the point of contact is equal to the measure of the opposite arc.

Front

If the measure of arc AD is 137 degrees, what is the measure of the inscribed angle that intercepts arc AD?

Back

68.5 degrees.

Front

What is the measure of a semicircle?

Back

A semicircle measures 180 degrees.

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

The measures of the inscribed angles are equal.

Front

What is the measure of an angle formed by two tangents drawn from a point outside a circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.