Arc Length

If the radius of a circle is 5 cm and the central angle is 60 degrees, what is the arc length?

• 3π/5 cm

• 25π/3 cm

• 10π/3 cm

• 5π/3 cm

A circle has a radius of 8 cm and an arc length of 12.56 cm. What is the measure of the central angle?

• 45 degrees

• 90 degrees

• 180 degrees

• 30 degrees

If the arc length of a circle is 15.7 cm and the radius is 4 cm, what is the measure of the central angle in radians?

• 3.925

• 6.3

• 7.85

• 2.5

What is the relationship between the central angle and the arc length of a circle?

• No relationship

• Indirectly proportional

• Randomly related

• Directly proportional

If the radius of a circle is 10 cm and the arc length is 15.7 cm, what is the measure of the central angle in degrees?

• 120 degrees

• 57 degrees

• 30 degrees

• 90 degrees

A circle has a radius of 6 cm and an arc length of 9.42 cm. What is the measure of the central angle in radians?

• 0.5

• 3.14

• 1.57

• 2.36

Explain how to find the arc length of a sector when the central angle is given in degrees.

• Arc Length = (Central Angle / 360) * 2 * π * r

• Arc Length = (Central Angle / 180) * π * r

• Arc Length = (Central Angle / 360) * π * r

• Arc Length = (Central Angle / 180) * 2 * π * r

If the radius of a circle is 12 cm and the central angle is 45 degrees, what is the arc length?

• 6π cm

• 24π cm

• 72 cm

• 36 cm

A circle has an arc length of 18.84 cm and a central angle of 3 radians. What is the radius of the circle?

• 12.56 cm

• 9.42 cm

• 6.28 cm

• 3.14 cm