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Assignment #6: Trigonometry and the Unit Circle
Name: ____________
Section 4.1 DUE MONDAY Oct. 31
Show all work on the sheet provided and clearly indicate your answer. Use pencil
1. Sketch each angle in standard position. Change each degree measure to radian measure.
Express answer as an exact value (in terms of fractions of  )
a) 160
b)
0
3200
2380
b) 340o
a)

2
radians
5
b)
11
8
radians
4. Which graph represents an angle in standard position with a measure of
A.
9
 rad?
8
C.
y
y
x
B.
x
D.
y
y
x
x
5. Determine the arc length of a circle with radius 4.5 cm if it is subtended by a central angle of
radians. Round your answer to one decimal place. Show all work.
4
3
6.
Determine one positive and one negative angle measure that is conterminal with each angle
given. Show proof (Show addition and subtraction work). Keep answer in same angle
measure as question. In what quadrant does the terminal arm lie?
a)
220
Quadrant ________
c)
3
4
Quadrant ________
b) 600
Quadrant ________
d)
3
5
Quadrant ________
7. Determine the arc length of a circle with radius 5.8 cm if it is subtended by a central angle
of 1400. Round your answer to one decimal place.
8. Determine the measure of the central angle subtended by an arc length of 25.4 cm and a radius of
8.0 cm. Express the answer in radians to the tenths place and in degrees to the tenths place.
9. John cuts a slice from a circular ice cream cake with a diameter of 28 cm. His slice is in the shape of
a sector with an arc length of 8 cm. What is the measure of the central angle of the slice, in radians?
Round your answer to two decimal places, if necessary.
11. A Ferris wheel makes one revolution every 50 seconds. The diameter of the Ferris wheel is
25 metres. What angle does the Ferris wheel rotate though in 5 minutes. Express your
answer in radians in exact form and in degrees to one decimal place.