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A point in the figure is selected at random. Find the probability that the point will be in the shaded region.

Question

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A point in the figure is selected at random. Find the probability that the point will be in the shaded region.

anonymous · Answer

Assume the square has side lengths = 1 so that the area of the square is 1, then the half circles have diameter = 1 (i.e. radius =1/2).  Calculate the area of the circle and divide it by the area of the square.

anonymous · Answer

but i dont know the area of the square @domu

anonymous · Answer

That's fine, all we need is the proportion of the circle compared to the square. So it doesn't matter which length you pick for the side of square.  I.e. we can just assume the length of each side of the square = 1.

anonymous · Answer

ok this problem is very hard for me

anonymous · Answer

What's the formula for the area of a circle?

anonymous · Answer

Probability will be pi/4