280 - Central Angles and Arcs Flashcardizz

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 (rays) extend to the circumference of the circle.

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 calculate the measure of an arc?

Back

The measure of an arc is equal to the measure of the central angle that subtends the arc.

Front

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

Back

The length of an arc can be calculated using the formula: \( L = \frac{\theta}{360} \times 2\pi r \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.

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

What is the measure of a semicircle?

Back

The measure of a semicircle is always 180 degrees.

Front

If the measure of a central angle is 150 degrees, what is the measure of the corresponding arc?

Back

The measure of the corresponding arc is also 150 degrees.

Front

What is the sum of the measures of all central angles in a circle?

Back

The sum of the measures of all central angles in a circle is 360 degrees.

Front

How do you find the measure of an inscribed angle?

Back

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

Front

What is the relationship between an inscribed angle and a central angle that subtends the same arc?

Back

The inscribed angle is always half the measure of the central angle that subtends the same arc.