Circles 12-1 to 12-4 4-15-24

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the angle formed at the center of the circle by two radii that connect the center to the endpoints of the arc, typically measured in degrees.

Front

How do you calculate the length of an arc?

Back

The length of an arc can be calculated using the formula: Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius of the circle.

Front

What is a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle, meaning it measures less than 180 degrees.

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

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

Back

The central angle of a circle directly determines the length of the arc; a larger central angle results in a longer arc.

Front

If the radius of a circle is 10 cm, what is the length of an arc with a central angle of 60 degrees?

Back

Length = (60/360) * 2π(10) = (1/6) * 20π = (10/3)π cm.

Front

What is the formula for the circumference of a circle?

Back

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

Front

How do you find the measure of an arc given the central angle?

Back

The measure of the arc is equal to the measure of the central angle in degrees.

Front

What is the formula for finding the area of a sector of a circle?

Back

The area of a sector can be calculated using the formula: Area = (θ/360) * πr², where θ is the central angle in degrees and r is the radius.

Front

What is the difference between a chord and an arc?

Back

A chord is a line segment whose endpoints lie on the circle, while an arc is a portion of the circumference of the circle.