Arc Measure and Arc Length

Front

What is an arc in a circle?

Back

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

Front

Define minor arc.

Back

A minor arc is an arc that is smaller than a semicircle, measuring less than 180 degrees.

Front

Define major arc.

Back

A major arc is an arc that is larger than a semicircle, measuring more than 180 degrees.

Front

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180 degrees.

Front

How do you calculate the length of an arc?

Back

Arc length = (θ/360) × 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the measure of a full circle in degrees?

Back

The measure of a full circle is 360 degrees.

Front

If the measure of a minor arc is 135 degrees, what is the measure of the corresponding major arc?

Back

The measure of the major arc is 360 - 135 = 225 degrees.

Front

What is the relationship between the measures of minor and major arcs?

Back

The sum of the measures of a minor arc and its corresponding major arc is always 360 degrees.

Front

If an arc measures 70 degrees, what type of arc is it?

Back

It is a minor arc since it measures less than 180 degrees.

Front

What is the formula for finding the measure of an arc in radians?

Back

Arc length = rθ, where θ is the angle in radians and r is the radius.