# Chapter 6 - The Circular Functions and Their Graphs - 6.1 Radian Measures - 6.1 Exercises - Page 572: 6

$r=8$ units

#### Work Step by Step

The radius of the circle can be found using the formula for the length of arc (s), which is $s=r\theta$. Substitute the given values of $\theta$ and $s$ to obtain: $s=r\theta \\6\pi=r(\frac{3\pi}{4}) \\\frac{4}{3\pi} \cdot 6\pi=r(\frac{3\pi}{4})\cdot (\frac{4}{3\pi})$ $\\8=r$ units

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