Definition of a Radian
- Topic:
- Unit Circle
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
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
Converting Between Radians and Degrees: 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