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In the figure, all the four shaded semicircles have same area. If we put a dot in the figure without looking into it, what is the probability of being the dot in the shaded semicircles? |
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Answer» If the radius of the shaded semicircle is r, Area of all semicircles = \(4\times\frac{\pi r^2}{2}=2\pi r^2\) Area of the bigger circle = \(\pi(4r)^2=16\pi r^2\) Probability = \(\frac{2 r^2}{16 r^2}=\frac{1}{8}\) |
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