# Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 114: 66

One nautical mile is 1.1 statute miles.

#### Work Step by Step

We can convert the angle to radians: $\theta = 01' = (\frac{1}{60})^{\circ}(\frac{\pi~rad}{180^{\circ}}) = 0.00029~rad$ The can find the arc length $S$: $S = \theta ~r$ $S = (0.00029~rad)(3963~mi)$ $S = 1.1~mi$ One nautical mile is 1.1 statute miles.

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