11.1 Circles and Arcs

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that measures less than 180 degrees.

Front

What is a major arc in a circle?

Back

A major arc is an arc that measures more than 180 degrees.

Front

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180 degrees.

Front

How do you find the length of an arc in a circle?

Back

The length of an arc can be found using the formula: \( L = \frac{\theta}{360} \times C \), where \( \theta \) is the central angle in degrees and \( C \) is the circumference of the circle.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: \( C = 2\pi r \), where \( r \) is the radius.

Front

If the radius of a circle is 7 cm, what is the circumference?

Back

Using the formula \( C = 2\pi r \), the circumference is \( C = 2\pi(7) = 14\pi \) cm.

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

How do you determine if an arc is a major or minor arc?

Back

An arc is a minor arc if it is less than 180 degrees and a major arc if it is more than 180 degrees.

Front

What is the measure of a semicircle in degrees?

Back

A semicircle measures exactly 180 degrees.

Front

If an arc measures 120 degrees, is it a major arc or a minor arc?

Back

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