F. Convert the following angle measures from DMS to DEGRRES.
1. 45° 28′ 32′′
2. 38° 41′27′′
3. 53° 18′39′′
G. Convert the following angle measures from DEGREES to
DMS. 1. 38.4256°
2. 52.3175°
3. 72.4813°
H. Find the coterminal angles of the ff. angles given.
1. 30°
2. 150°
3. 430°, 0 ≤ �� ≤ 360°
4. −150°
5. 800°
6. −500°
7. 13��
6, 0 ≤ �� ≤ 2��
8. −11��
4
I. Find the reference angles of the following angles given.
1. 150°
2. −150°
3. 315°
4. −240°
J. Read each problem carefully and show your solutions.
1. A wheel makes 10 revolutions every 4 seconds. (a) What is the angular speed in radians per second?
(b) If the radius is 0.5 ft., what is the linear speed of the wheel in miles per hour?
2. A bus has a wheel radius of 1.4 ft. and is moving at a linear speed of 45 km/hr. What is the angular
speed of each wheel in RPM?
3. A truck with a wheel radius of 1.7 ft. moves with a linear speed of 35mph. What is the angular speed of
each wheel in radians per second?
4. The length of the minute hand on a wall clock is 7 cm. Find the area swept by the minute hand in 30
minutes.
5. The radius of the circle is 25 cm. Find the length of an arc of this circle which subtends a central angle
of 75°.