Sectors and Arc Length

If a circle has a radius of 5 units and a central angle of 60 degrees, what is the sector angle in radians?

• pi/6

• 1/3 * pi

• 2/3 * pi

• pi/4

Tags

CCSS.HSF.TF.A.1

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

• 4π

• 8π

• 16π

• 32

Tags

CCSS.HSG.C.B.5

If the arc length of a sector is 10 units and the radius is 3 units, what is the central angle in degrees?

• 60.95 degrees

• 30.21 degrees

• 72.34 degrees

• 45.75 degrees

Tags

CCSS.HSG.C.B.5

A sector has a radius of 12 units and a central angle of 120 degrees. Calculate the arc length.

• 8π units

• 15π units

• 6π units

• 10π units

Tags

CCSS.HSG.C.B.5

What is the length of the arc of a sector with a radius of 7 units and a central angle of 30 degrees?

• 2π/3 units

• 7π/6 units

• π/2 units

• 7π/3 units

Tags

CCSS.HSG.C.B.5

Find the area of a sector whose radius is 10 units and the central angle is 90 degrees.

• 25π

• 50π

• 75π

• 100π

Tags

CCSS.HSG.C.B.5

If a sector of a circle has a central angle of 180 degrees and a radius of 4 units, calculate the arc length.

• 2π units

• 4π units

• 6π units

• 8π units

Tags

CCSS.HSG.C.B.5

Given an arclength of 60cm and a centeral angle of 120^o what is the circumference

• 120cm

• 180cm

• 2cm

• 20cm

Tags

CCSS.HSG.C.B.5

If the area of a shaded region is 24π in² and the centeral angle is 135^o then what is the radius?

• 24 in

• 64 in

• 8 in

• 20 in

Tags

CCSS.HSG.C.B.5

If the circumference of a circle is 56π units, what is the length of an arc subtended by a central angle of 90 degrees?

• 14π units

• 28π units

• 7π units

• 21π units

Tags

CCSS.HSG.C.B.5