Arc Length (Degrees)

What is the formula to determine arc length in degrees?

• Arc Length = (Angle in degrees / 2) * π * radius

• Arc Length = (Angle in radians / 2π) * 360 * radius

• Arc Length = (Angle in degrees / 360) * 2 * π * radius

• Arc Length = (Angle in degrees / 180) * π * radius

Tags

CCSS.HSG.C.B.5

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

• 3π units

• 10π units

• 5π units

• 25 units

Tags

CCSS.HSG.C.B.5

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

• 71.57 degrees

• 45.36 degrees

• 82.45 degrees

• 63.24 degrees

Tags

CCSS.HSG.C.B.5

If the arc length of a circle is 15π units and the radius is 5 units, what is the measure of the central angle in degrees?

• 180 degrees

• 540 degrees

• 90 degrees

• 360 degrees

Tags

CCSS.HSG.C.B.5

Calculate the arc length in degrees if the central angle of a circle is 120 degrees and the radius is 10 units.

• 20π units

• 30π units

• 25π units

• 15π units

Tags

CCSS.HSG.C.B.5

A circle has an arc length of 3.14 units and a central angle of 45 degrees. What is the radius of the circle?

• 6.5

• 4.5

• 1

• 2.5

Tags

CCSS.HSG.C.B.5

If the arc length of a circle is 18 units and the central angle is 90 degrees, what is the radius of the circle?

• 7.32 units

• 15.5 units

• 20 units

• 11.46 units

Tags

CCSS.HSG.C.B.5

Given a circle with a radius of 6 cm and an arc length of 9.42 cm, what is the measure of the central angle in degrees?

• 90 degrees

• 60 degrees

• 120 degrees

• 45 degrees

Tags

CCSS.HSG.C.B.5

Calculate the arc length in degrees if the central angle of a circle is 150 degrees and the radius is 12 units.

• 180 units

• 15π units

• 10π units

• 20π units

Tags

CCSS.HSG.C.B.5

A circle has a radius of 4 units and an arc length of 8π units. What is the measure of the central angle in degrees?

• 90

• 270

• 180

• 360

Tags

CCSS.HSG.SRT.C.8