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 (rays) extend to the circumference of the circle.

Front

How do you calculate the measure of a central angle in a circle?

Back

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

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

If the measure of arc JH is 130°, what is the measure of the central angle that intercepts arc JH?

Back

The measure of the central angle that intercepts arc JH is also 130°.

Front

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

Back

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

Front

If the measure of arc AYB is 260°, what is the measure of the central angle that intercepts it?

Back

The measure of the central angle that intercepts arc AYB is also 260°.

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 ∠PTQ measures 140°, what is the measure of the arc intercepted by this angle?

Back

The measure of the arc intercepted by ∠PTQ is 280°.

Front

How do you find the measure of an arc if you know the central angle?

Back

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

Front

What is the measure of arc WXZ if the central angle is 231°?

Back

The measure of arc WXZ is also 231°.