Arc Length & Sector Area

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

• 7/4π
• 7/2π
• 1/8π
• 45π

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft

• $\frac{95}{3}\Pi\ ft^2$

• $\frac{1805}{12}\Pi\ ft^2$

• $\frac{95}{6}\Pi\ ft^2$

Calculate the length of the bold arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

• 13π/8 cm

• 52π/9 cm

• π/9 cm

• 9π/52

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.
• 10.5 sq. in.
• 31.4 sq. in.
• 38.2 sq. in.

Tags

CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 339.12 in²

• 113.04 in²

• 339.29 in²

• None of the above

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

Find the area of each sector.

• 52.4 in²
• 18,864 in²
• 60 in2
• 10.47 in

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

• $405\Pi\ in^2$

• $\frac{27}{4}\Pi\ in^2$

• $\frac{9}{8}\Pi\ in^2$

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.HSF.TF.A.1

CCSS.HSG.C.B.5