1B Circles and Arcs

Front

What is a circle?

Back

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

Front

What is an arc?

Back

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

Front

What is the difference between a major arc and a minor arc?

Back

A minor arc is less than 180 degrees, while a major arc is 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 measure of an arc in a circle?

Back

The measure of an arc can be found using the central angle that subtends the arc.

Front

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

Back

The arc length is directly proportional to the central angle in radians.

Front

If the central angle is 90 degrees, what is the measure of the arc?

Back

The measure of the arc is 90 degrees.

Front

What is the formula for the circumference of a circle?

Back

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

Front

How do you calculate the length of an arc?

Back

The length of an arc can be calculated using the formula: Arc Length = (θ/360) * C, where θ is the central angle in degrees and C is the circumference.

Front

What is the measure of Arc EJ if the central angle is 110 degrees?

Back

The measure of Arc EJ is 110 degrees.