Definition of a Radian Worksheet - answer the questions on this online worksheet and then complete the practice problems on accompany .pdf worksheet. Algebra 2 & Trig HSCL - Mr. Rothman

Algebra II/Trigonometry Date _______________________________ Radian Measure Name ______________________________ Example 1. What is the radian measure of the angle formed by the hands of a clock at 2:00 p.m.? (Stuck? To think about: How many hours are there on a clock face? So how many equal size pieces are we breaking the clock face into?) (1) π/2 (2) π/3 (3) π/4 (4) π/6 Example 2. Through how many radians does the minute hand of a clock turn in 24 minutes? (1) 0.2π (2) 0.4π (3) 0.6π (4) 0.8π [b]Converting Between Radians and Degrees:[/b] We use a conversion to go between degrees and radians. Because radians is usually given in terms of π, we use π in the conversion. What conversion would you set up that has π in it? __________ degrees = __________ radians Practice Problems: 1. Convert each from degrees to radians. Leave your answer as a fraction in simplest form. a. 30° b. 160° c. 130º d. 225º 2. Convert each from radians to degrees. a. 2π/5 radians b. 3π radians c. π/6 radians d. 3π/4 radians