Angles in Circles

Front

What is the definition of an angle in a circle?

Back

An angle in a circle is formed by two rays (sides of the angle) that share a common endpoint (the vertex) and are positioned such that they extend from the center of the circle to the circumference.

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Front

What is the relationship between the central angle and the arc it subtends?

Back

The measure of the central angle is equal to the measure of the arc it subtends.

Front

What is the formula to find the measure of an inscribed angle?

Back

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

Front

If the measure of arc AB is 142 degrees, what is the measure of the central angle subtended by arc AB?

Back

142 degrees.

Front

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

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

What is the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle is equal to half the measure of the intercepted arc.

Front

What is the measure of arc WYZ if the central angle is 231 degrees?

Back

231 degrees.

Front

What is the measure of arc KL if the central angle is 108 degrees?

Back

108 degrees.

Front

What is the relationship between the angles formed by two secants that intersect outside a circle?

Back

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