Question

1. how many plants spaced every 6 in. are needed to surround a circular walkway with a 25 - ft radius?

Explanation:

Step1: Convert radius to inches

Since 1 ft = 12 in, a 25 - ft radius is $25\times12 = 300$ in.

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is $C = 2\pi r$. Substituting $r = 300$ in, we get $C=2\pi\times300 = 600\pi$ in.

Step3: Determine the number of plants

The plants are spaced every 6 in. So the number of plants $n=\frac{C}{6}=\frac{600\pi}{6}=100\pi\approx 100\times 3.14 = 314$.

Answer:

314