# Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 105: 61

$19^{\circ}35'$

#### Work Step by Step

Step 1: To convert from radians to degrees, we need to multiply the angle in radians by $(\frac{180^{\circ}}{\pi})$, $0.3417$ radians$=0.3417(\frac{180^{\circ}}{\pi})$ Step 2: Using a calculator, $0.3417(\frac{180^{\circ}}{\pi})\approx19.57797^{\circ}$ Step 3: Converting decimal degrees to minutes, $0.57797(60')\approx35'$ Step 4: Therefore, $19.57797^{\circ}=19^{\circ}35'$

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