SOLUTION: <a href="http://tinypic.com" target="_blank"><img src="http://i25.tinypic.com/2ue4aq9.jpg" border="0" alt="Image and video hosting by TinyPic"></a> Find the area of the shaded por

Question 133356:
Find the area of the shaded portion in terms of X.
The 2 circles are semi circles because my drawing isn't that well.
I know you have to subtract the area of the semi-circles from the area of the square. Please help with the rest! (:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the length of the red line units? If it is, then this means that half of the length is . This also means that the radius of one of these circles is

Now let's use the area of a circle formula

Plug in

Now divide this by 2 (since we're dealing with a semicircle)

Multiply this answer by 2 (there are 2 semicircles)

So the total area of the white semicircles are

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Now let's find the area of the square:

The length and the width is . So the area is

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Now subtract the area of the circles semicircles from the area from the square

Factor out the common term

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Answer:

So the total area of the shaded region is

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