Here's Why It Works
Because the circumference of a circle is 2πr, there are 2π radians in any circle. Since
Take Note Key Concept: Converting Between Radians and Degrees
To convert degrees to radians, multiply by
To convert radians to degrees, multiply by
You can use the conversion factors and dimensional analysis to convert between angle measurement systems.
Problem 1 Using Dimensional Analysis
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A What is the degree measure of an angle of
Think
How do you know which conversion factor to use?
Because radians are in the numerator, use the conversion factor with radians in the denominator.
- An angle of
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B What is the radian measure of an angle of 27°?
An angle of 27° measures
✓ Got It?
- What is the degree measure of each angle expressed in radians? What is the radian measure of each angle expressed in degrees? (Express radian measures in terms of π.)
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- 225°
- 2 radians
- 150°
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Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions