Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding - Page 365: 127

Answer

The radian is the standard unit for measuring angles, used in most mathematical areas. $1$ radian is the central angle belonging to the arc of a circle with the same length as the radius of the circle. $2\pi \text{rad}=360^\circ\\1\text{rad}=\frac{360^\circ}{2\pi}=57.29^\circ$

Work Step by Step

The radian is the standard unit for measuring angles, used in most mathematical areas. $1$ radian is the central angle belonging to the arc of a circle with the same length as the radius of the circle. $2\pi \text{rad}=360^\circ\\1\text{rad}=\frac{360^\circ}{2\pi}=57.29^\circ$
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