Central Angles and Arc Measures

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 are radii that extend to the circumference.

Front

Define a diameter in the context of a circle.

Back

A diameter is a straight line segment that passes through the center of a circle and connects two points on the circumference, effectively dividing the circle into two equal halves.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle, meaning it measures more than 180 degrees.

Front

How do you calculate the measure of an arc?

Back

The measure of an arc can be calculated using the formula: (central angle/360) * circumference of the circle.

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints both lie on the circumference of the circle.

Front

What is the relationship between the central angle and the arc it subtends?

Back

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

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius.

Front

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

Back

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

Front

How do you find the length of an arc?

Back

The length of an arc can be found using the formula: (central angle/360) * circumference of the circle.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is always 180 degrees.