Arc Lengths in Degrees and Radians

Tags

CCSS.HSG.C.B.5

If a circle has a radius of 10 cm and the central angle is 1 radian, what is the arc length?

• 10 cm

• 20 cm

• 10π cm

• 5 cm

Tags

CCSS.HSG.C.B.5

A circle with a radius of 7 meters has an arc length of 14 meters. What is the measure of the central angle in radians that subtends this arc?

• 1 radian

• 2 radians

• 0.5 radians

• 7 radians

Tags

CCSS.HSG.SRT.C.8

Convert a central angle of 90 degrees to radians.

Tags

CCSS.HSF.TF.A.1

A sector of a circle has a central angle of 60 degrees and a radius of 4 cm. What is the arc length of the sector?

Tags

CCSS.HSG.C.B.5

If the arc length of a sector is 5 cm and the radius of the circle is 10 cm, what is the measure of the central angle in degrees?

• 28.65 degrees

• 30 degrees

• 57.3 degrees

• 114.6 degrees

Tags

CCSS.HSG.C.B.5

A circular track has a radius of 50 meters. If a runner completes a full lap around the track, what is the total distance run in terms of arc length?

• 100π meters

• 50π meters

• 200π meters

• 314 meters

Tags

CCSS.7.G.B.4

• 15π cm

• 30 cm

• 15 cm

• 60π cm

Tags

CCSS.HSG.C.B.5

If a sector of a circle has an arc length of 8 cm and the central angle is 2 radians, what is the radius of the circle?

• 4 cm

• 8 cm

• 16 cm

• 2 cm

Tags

CCSS.HSG.C.B.5

A pizza has a radius of 12 inches and is cut into 8 equal slices. What is the arc length of one slice?

• 3π inches

• 6π inches

• 4.5π inches

• 1.5π inches

Tags

CCSS.HSG.C.B.5