SOLUTION: Area of a sign.
A sign is in the shape of a square with a semicircle of radius x adjoining one side and a semicircle of diameter x removed from the opposite side. If the sides of
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Question 184066: Area of a sign.
A sign is in the shape of a square with a semicircle of radius x adjoining one side and a semicircle of diameter x removed from the opposite side. If the sides of the square are length 2x, then write the area of the sign as a function of x.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The area of the square is ^2 = 4x^2)
The area of the added semi-circle is 
The area of the subtracted semi-circle is ^2 = \frac{\pi x^2}{4})
Add 'em up:
 = 4x^2 + \pi x^2 - \frac{\pi x^2}{4} = \left(4 + \frac{3\pi}{4}\right)x^2)
Mighty goofy looking sign, if you ask me.
John
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