type the correct answer in the box. use numerals instead of words. a circular pool has a diameter of 30…

Explanation:

Step1: Find the radius

The diameter $d = 30$ feet, so the radius $r=\frac{d}{2}=\frac{30}{2}=15$ feet.

Step2: Use the arc - length formula

The formula for the length of an arc $s$ of a circle with radius $r$ and central angle $\theta$ (in radians) is $s = r\theta$. First, convert the angle from degrees to radians. We know that $\theta=27^{\circ}$, and to convert to radians, use the conversion factor $\theta_{rad}=\theta_{deg}\times\frac{\pi}{180}$. So $\theta = 27\times\frac{\pi}{180}=\frac{3\pi}{20}$ radians. Then, substitute $r = 15$ and $\theta=\frac{3\pi}{20}$ into the arc - length formula: $s=15\times\frac{3\pi}{20}=\frac{9\pi}{4}\approx\frac{9\times 3.14}{4}=\frac{28.26}{4}=7.065$.

Step3: Round the answer

Rounding $7.065$ to one decimal place gives $7.1$.

Answer:

$7.1$