The circumference, in inches, of a certain circle is C, where . Which of the following is a possible area of the circle, in square inches?
i want solution for 100/pi
$\displaystyle |C-20.5| \le 0.5$
$\displaystyle -0.5 \le C-20.5 \le 0.5$
$\displaystyle 20 \le C \le 21$
$\displaystyle 20 \le 2\pi r \le 21$
$\displaystyle \frac{10}{\pi} \le r \le \frac{21}{2\pi}$
the area of a circle is $\displaystyle \pi r^2$ ...
$\displaystyle \frac{100}{\pi^2} \le r^2 \le \frac{21^2}{4\pi^2}
$
$\displaystyle \frac{100}{\pi} \le \pi r^2 \le \frac{21^2}{4\pi}
$
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