Angle and Measurement I. Convert

Name: ____________________________________ Score:______________ Section: __________________ Date:_______________

Activity No. 1.1 Unit of Measurement I. Convert each angle to a decimal in degrees. 1. 40° 30' 2. 60° 60' 60"

II. Convert each angle to D° M' S" form. 1. 40.3° 2. 118.255°

III. Evaluate the following. 1. Complement of 74° 31' 43" 2. Supplement of 105° 24' 56"

Activity No. 1.2 Unit of Measurement I. Convert each angle in degrees to radians. 1. 67.5°

2. –300°

II. Convert each angle in radians to degrees. 1.

2.

Activity No. 1.3 Angles in Standard Position/Co-terminal Angles I. Draw each of the following angles in standard position.

1.

2.

II. Solve for the following.

1. Find the two angles (one positive and one negative) that are co-terminal with -75°. 2. Find an angle between 0° and 360° that is co-terminal with 1110°π3.

III. Given are the measures of two angles in standard position. Determine whether the pair of angles are co-terminal.

1. 170°, 530° 3. , 2. 60°, -300°

Activity No. 1.4 Length of a Circular Arc I. Solve the following problems. The initial steps in some problems were done for you, just complete the solution.

1. How far does the tip of a 14 centimeters long minute hand on a clock move in 25 minutes?

2. A railroad is to be laid-off in a circular path. What should be the radius if the track is to change direction by 30 degrees at a distance of 78.54m?

3. Memphis, Tennessee, is due north of New