Arc Length

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Show your work for each problem.

1.
What is the arc length of a full circle with radius cm?
1. a) cm
2. b) cm
3. c) cm
4. d) cm
2.
Which formula is used to find arc length when the angle is in radians?
1. a)
2. b)
3. c)
4. d)
3.
A semicircle has a radius of cm. What is the arc length? Give your answer in terms of .
4.
Convert to radians. Give your answer in terms of .
5.
Find the arc length of a sector with central angle and radius cm.
1. a) cm
2. b) cm
3. c) cm
4. d) cm
6.
A circle has radius m. Find the arc length for a central angle of radians. Give your answer in terms of .
7.
Find the arc length of a sector with central angle and radius cm.
8.
The minute hand of a clock is cm long. How far does the tip travel in minutes?
9.
If the arc length is cm and the central angle is , what is the radius?
1. a) cm
2. b) cm
3. c) cm
4. d) cm
10.
An arc has length m and the radius is m. Find the central angle in degrees.
11.
A circular running track has an inner radius of m and an outer radius of m. Find the difference in arc length for one semicircular end between the inner and outer lanes.
12.
A pizza has a radius of cm. If a slice has an arc length of cm along the crust, what is the central angle of the slice in degrees?
13.
A car travels around a circular curve with radius m. If the car covers an arc of radians, how far does it travel? Then convert this angle to degrees.
14.
Two circles have radii and . If both have arcs with the same central angle, what is the ratio of their arc lengths?
1. a)
2. b)
3. c)
4. d)
15.
A sector has an arc length of cm and a central angle of radians. Find the radius, then calculate the area of the sector.