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

Algebra II/Trigonometry Date _______________________________[br]Radian Measure Name ______________________________[br][br]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?) [br][br](1) π/2 [br](2) π/3 [br](3) π/4[br](4) π/6[br][br][br]Example 2. Through how many radians does the minute hand of a clock turn in 24 minutes? [br][br](1) 0.2π [br](2) 0.4π [br](3) 0.6π [br](4) 0.8π[br][br][br][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?[br][br]__________ degrees = __________ radians[br][br]Practice Problems:[br]1. Convert each from degrees to radians. Leave your answer as a fraction in simplest form.[br][br]a. 30° [br][br]b. 160°[br][br]c. 130º [br][br]d. 225º[br][br][br][br]2. Convert each from radians to degrees.[br][br]a. 2π/5 radians [br][br]b. 3π radians[br][br]c. π/6 radians [br][br]d. 3π/4 radians