Arcs and Central Angles

Front

What is an arc in a circle?

Back

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

Front

Define a central angle.

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that intersect the circle.

Front

How do you calculate the measure of an arc?

Back

The measure of an arc is equal to the measure of its corresponding central angle.

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of the central angle is equal to the measure of the intercepted arc.

Front

What is a secant in relation to a circle?

Back

A secant is a line that intersects a circle at two points.

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

If the central angle measures 60 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is also 60 degrees.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

How do you find the measure of an arc when given the circle's total circumference?

Back

To find the measure of an arc, use the formula: (measure of the arc / total circumference) = (measure of the central angle / 360 degrees).

Front

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

Back

A minor arc is less than 180 degrees, while a major arc is greater than 180 degrees.