Arc Length and Sector Area

Calculate the arc length of a circle with radius 5 and central angle 60 degrees.

• The arc length is 5π units.

• The arc length is 25 units.

• The arc length is 30 units.

• The arc length is 10π units.

Tags

CCSS.HSG.C.B.5

Find the area of a sector with radius 8 and central angle 45 degrees.

• 40

• 4π

• 64

• 32π

• 16π

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

A circle has an arc length of 12π and a central angle of 150 degrees. Calculate the radius of the circle.

• 4

• 6

• 8

• 10

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Determine the area of a sector with radius 10 and arc length 12.5.

• The area of the sector is 31.25 square units.

• The area of the sector is 15 square units.

• The area of the sector is 100 square units.

• The area of the sector is 25 square units.

Tags

CCSS.HSG.C.B.5

If the arc length of a circle is 8π and the radius is 4, find the central angle.

• π/2

• 3π

• 2π

• 16

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Calculate the area of a sector with radius 6 and central angle 120 degrees.

• 72π square units

• 30π square units

• 18π square units

• 36π square units

Tags

CCSS.HSG.C.B.5

A circle has a central angle of 90 degrees and an arc length of 4π. Find the radius of the circle.

• 16

• 12

• 8

• 6

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the arc length of a circle with radius 7 and central angle 210 degrees.

• 14π

• 35π

• 49π

• 147π

Tags

CCSS.HSG.C.B.5

Determine the area of a sector with radius 12 and arc length 15.

• The area of the sector is 180 square units.

• The area of the sector is 90 square units.

• The area of the sector is 60 square units.

• The area of the sector is 100 square units.

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

If the area of a sector is 24π and the radius is 6, find the central angle.

• 30 degrees

• 40 degrees

• 45 degrees

• 60 degrees

Tags

CCSS.HSG.C.B.5