Central Angles

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that intersect the circle.

Front

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

Back

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

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.

Front

If the central angle measures 60 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is also 60 degrees.

Front

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

Back

The total measure of all arcs in a circle is 360 degrees.

Front

Define a circle in terms of central angles.

Back

A circle is a set of all points in a plane that are equidistant from a single point called the center, and central angles are formed by radii of the circle.

Front

What is the measure of arc AD if the central angle is 38 degrees?

Back

The measure of arc AD is 38 degrees.

Front

What is the measure of arc AB if the central angle is 142 degrees?

Back

The measure of arc AB is 142 degrees.

Front

If two central angles are equal, what can be said about their intercepted arcs?

Back

If two central angles are equal, their intercepted arcs are also equal.

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.