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

To convert from grade to radians, we should multiply the grade by $\frac{\pi}{200}$

#### Work Step by Step

Let $x$ be the grade. Let $y$ be the angle in degrees. $y = (0.9~x)^{\circ}$ To convert from degrees to radians, we multiply the angle in degrees by $\frac{\pi}{180}$. Let $z$ be the angle in radians. $z = \frac{\pi}{180}~y$ $z = \frac{\pi}{180}~(0.9~x)$ $z = \frac{\pi}{200}~x$ To convert from grade to radians, we should multiply the grade by $\frac{\pi}{200}$

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