Arcs and Angles

Front

What is an arc in a circle?

Back

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

Front

Define a major arc.

Back

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

Front

What is a minor arc?

Back

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

Front

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

Back

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

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 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

What is the measure of angle x if it is complementary to 45°?

Back

The measure of angle x is 45°.

Front

What is the measure of angle x if it is supplementary to 135°?

Back

The measure of angle x is 45°.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If two angles are vertical angles, what can be said about their measures?

Back

Vertical angles are always equal in measure.