Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding - Page 362: 74

$r=24\text{ cm}$

Work Step by Step

The arc length can be computed using the formula: $s=r\cdot \theta$ Substitute the given values into the formula above to obtain: $6=r\cdot\frac{1}{4}\\ 4(6)=r\cdot \frac{1}{4} \cdot 4\\ 24=r$

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