Worksheet – 6.1
Name_________________________________
1. Fill in the following chart. Show appropriate work below.
(Give exact answers and then round to the nearest degree or nearest hundredth of a radian.)
Degree
30
120
40
Radians
72
4
585
3
0
2. A 40 inch long pendulum swings through an arc of 20  in one second. How far does the tip
of the pendulum move in that second? Round your answer to 2 decimal places.
20 
40 in
3. An irrigation system uses a straight sprinkler pipe 300 ft long that pivots around a central point as shown
on page 441 problem 76. Due to an obstacle the pipe is allowed to pivot through 280 only. Find the
area irrigated by this system. Round your answer to 2 decimal places and give appropriate units.
4. A sector in a circle of radius 25 feet has an area of 125 square feet. Find the central angle of the
sector. Give you answer in terms of both degrees and radians.
5. How many revolutions (rounded to the nearest full revolution) will a car wheel of diameter 28
inches make in a 30 minute period if the car is traveling at 60 miles per hour?