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A coin is dropped at random on the rectangular region shown in the figure. What is the probability that it will land inside the circle with radius $0.7\text{ m}$?
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Area of circle $= \frac{22}{7} \times \frac{7}{10} \times \frac{7}{10} = \frac{154}{100}\text{ sq m}$ [$\frac{1}{2}$ mark]
Area of rectangle $= 6\text{ sq m}$ [$\frac{1}{2}$ mark]
$P(\text{coin lands inside the circle}) = \frac{154/100}{6} = \frac{154}{600}$ or $\frac{77}{300}$ [$1$ mark]
Area of rectangle $= 6\text{ sq m}$ [$\frac{1}{2}$ mark]
$P(\text{coin lands inside the circle}) = \frac{154/100}{6} = \frac{154}{600}$ or $\frac{77}{300}$ [$1$ mark]