Question

find the area. use your calculators version of \\(\pi\\). round your answer to the nearest tenth.
\\(\boldsymbol{20\text{ mi}}\\)
\\(\text{area} = \square\\)

Explanation:

Step1: Find the radius

The diameter is 20 mi, so radius $r = \frac{20}{2} = 10$ mi.

Step2: Apply circle area formula

Use $A = \pi r^2$, substitute $r=10$.
$A = \pi \times 10^2 = 100\pi$

Step3: Calculate and round

Use calculator $\pi$, compute $100\pi \approx 314.159$, round to nearest tenth.

Answer:

314.2 square miles