Arc Length and Area of a Sector

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

Tags

CCSS.HSG.C.B.5

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

• 6in

• 3in

• 6.8in

• 2.5in

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

Tags

CCSS.HSG.C.B.5

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

Tags

CCSS.HSG.C.B.5

What is the area of the shaded region? Round to the nearest hundredth.

• 26

• 452.39

• 113.10

• 40715.04

Tags

CCSS.HSG.C.B.5

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Tags

CCSS.HSG.C.A.2

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

Tags

CCSS.HSG.C.B.5

Find the area of the sector, rounding your answer to 1d.p.

• 67.1cm²

• 67.0cm²

• 16.8cm²

• 134.0cm²

Tags

CCSS.HSG.C.B.5