## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 106: 96b

#### Answer

A grade of 3.5% is an angle of $3.15^{\circ}$ which is $0.055~radians$

#### Work Step by Step

Let $x$ be the grade. Let $y$ be the angle in degrees. $y = (0.9~x)^{\circ}$ $y = [(0.9)(3.5)]^{\circ}$ $y = 3.15^{\circ}$ Let $z$ be the angle in radians. To convert from grade to radians, we should multiply the grade by $\frac{\pi}{200}$: $z = (\frac{\pi}{200})~x$ $z = (\frac{\pi}{200})(3.5)$ $z = 0.055~radians$ A grade of 3.5% is an angle of $3.15^{\circ}$ which is $0.055~radians$

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