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

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 the central angle and the arc length?

Back

The arc length is directly proportional to the central angle; as the angle increases, the arc length increases.

Front

Define the term 'arc' in the context of a circle.

Back

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

Front

What is the formula for finding the length of an arc?

Back

Arc length = (central angle/360) * 2πr, where r is the radius of the circle.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

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

Back

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

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 definition of a circle?

Back

A circle is the set of all points in a plane that are equidistant from a single point called the center.

Front

How do you find the measure of an inscribed angle in relation to the intercepted arc?

Back

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