Arc Length

​Arc Length and Sector Area

By Matthew Tomes

Material: Pencil, Paper and a Cacluator (Phone App is fine)

OInstructions: This lesson is to be completed on your laptop/tablet. It is a series of breif videos and few practice problems after each. You take notes on a sheet of paper as you watch the videos.

Multiple Choice

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

• 5688π ft
• 15.8π ft
• 150.4π ft
• 54,150 ft

Multiple Choice

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90
• 60
• 55
• 113

Multiple Choice

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

• 7/4π
• 7/2π
• 1/8π
• 45π

Multiple Choice

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

• 5.42π cm

• 17.02 cm

• 35.21π cm

• 26π cm

Multiple Choice

• 60^o

• 157^o

• 50^o

• 493^o

Multiple Choice

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

Multiple Choice

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

Multiple Choice

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

Multiple Choice

Find the length of the intercepted arc given the central angle $$\theta=\frac{\pi}{2}$$ and a radius $$r=4in$$ . Round to the nearest tenth.

• 6.3 in

• 6.2 in

• 0.1 in

• 0.2 in

Multiple Choice

Given that m∠AOB = $$\frac{13\pi}{18}$$  radians and the radius is 8 cm, what is the length of arc AB?

• $$\frac{13\pi}{8}$$   cm

• $$\frac{52\pi}{9}$$  cm

• $$\frac{\pi}{9}$$  cm

• $$\frac{9\pi}{52}$$  cm

Poll

Rate yourself on a 1 through 4 scale on your ability to complete the problems in the lesson. A

• 1

  Lost

• 2

  On my way

• 3

  I got it.

• 4

  Too easy Tomes.