PLTL Worksheet 4.1
Groupwork #6
___________
Determine the quadrant in which each angle lies. (The angle measure is given in radians.)
1.
3. 6.02
2.
Sketch each angle in standard position.
4.
5.
Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in
radians.
6.
7.
Rewrite each angle in radian measures as a multiple of π. (Do not use calculator)
8.
9.
10.
11. 144°
12. Convert = 0.54 from degrees to radians. Round your answer to three decimal places. Do not
include π in your answer.
13. Find the radian measure of the central angle of a circle of radius 14 feet that intercepts an arc of
length 8 feet.
14. Find the area of the sector of the circle with radius 1.4 miles and central angle 330°.
Practice: Drawing and labeling the unit circle.
15. An electric hoist is being used to lift beam. The diameter of the drum on the hoist is 10 inches,
and the beam must be raised 2 feet. Find the measure of the angle in radians through which the
drum must rotate.