Understanding Circle Arcs and Measures

In a circle, if arc AB measures 110° , which of the following best describes arc AB?

• Major arc

• Minor arc

• Semicircle

• Central angle

A circle has a radius of 7 cm. What is the length of an arc that subtends a central angle of 60°? (Use π ≈ 3.14)

• 7.33 cm

• 6.28 cm

• 8.80 cm

• 12.56 cm

If the measure of a central angle is 2 radians and the radius of the circle is 5 cm, what is the arc length?

• 5 cm

• 10 cm

• 2 cm

• 7 cm

Which of the following is true about a semicircle in a circle?

• It is a minor arc.

• It measures 90°.

• It is a major arc.

• It measures 180°.

Given a circle with center O, if arc ABC measures 220°, what type of arc is ABC?

• Minor arc

• Major arc

• Semicircle

• Central angle

If the radius of a circle is 10 cm and the central angle is π/3 radians, what is the arc length?

• 10π/3 cm

• 20π/3 cm

• 5π/3 cm

• 10π cm

Which of the following statements are true about arcs in a circle? (Select all that apply.)

• A major arc is always greater than 180°.

• A minor arc is always less than 180°.

• A semicircle is exactly 180°.

• A central angle can never be 360°.

What is the measure of the central angle (in degrees) that intercepts an arc of 1/4 of a circle?

• 45°

• 60°

• 90°

• 120°

If the arc length is 15.7 cm, the radius is 5 cm, and the central angle is in radians, what is the measure of the central angle?

• 2 radians

• 3.14 radians

• 1.57 radians

• 5 radians

Which of the following are needed to calculate the arc length of a circle? (Select all that apply.)

• The radius of the circle

• The measure of the central angle

• The diameter of the circle

• The area of the circle