Measuring Arcs

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle, defined by two endpoints on the circle.

Front

How do you measure an arc?

Back

The measure of an arc is determined by the central angle that subtends the arc, measured in degrees.

Front

What is the relationship between the central angle and the arc length?

Back

The length of an arc is directly proportional to the central angle that subtends it, with the formula: Arc Length = (Central Angle/360) * Circumference of the circle.

Front

What is a congruent arc?

Back

Congruent arcs are arcs that have the same measure and are subtended by the same central angle.

Front

How can you determine if two arcs are congruent?

Back

Two arcs are congruent if they are on the same circle and have the same measure.

Front

What is the formula for finding the circumference of a circle?

Back

The circumference of a circle is given by the formula: C = 2πr, where r is the radius.

Front

If the measure of arc CD is 61.2°, what does this indicate about the central angle?

Back

The measure of arc CD being 61.2° indicates that the central angle subtending arc CD is also 61.2°.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360°.

Front

If arc BC measures 110°, what is the measure of the central angle subtending arc BC?

Back

The measure of the central angle subtending arc BC is also 110°.

Front

What is the difference between minor and major arcs?

Back

A minor arc is an arc that measures less than 180°, while a major arc measures more than 180°.