A square dartboard has side length 10. A circle with radius 3 is inscribed somewhere on the board. If a dart lands at a random point on…

With a random dart, the probability equals the ratio of the favorable area to the total area. The circle has area $\pi(3)^2=9\pi\approx28.3$, and the square has area $10^2=100$. So the probability is $\frac{9\pi}{100}\approx0.283$, choice G. Choice F ($0.09$) is $\frac{9}{100}$, leaving out $\pi$. Choice H ($0.30$) is $\frac{3}{10}$, the ratio of the radius to the side, which is a ratio of lengths and not of areas. Choice J ($0.79$) is $\frac{\pi}{4}$, the fraction for a circle that fills the whole square.