Area of a Window?

summer_storms

New member
Joined
May 16, 2007
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8
Solve the problem:

A window is in the shape of a square of side "s", with a semicircle of diameter "s" above it. Write a function that expresses the total area of the window as a function of "s".

I can never figure out how to do the functions, would it be something like:

(s^2)(1/2pi * s)

Thanks in advance for assistance. :D [/i]
 
Try \(\displaystyle \L\;\frac{1}{2}\pi*(s/2)^{2}\)

Now that you have that, just write "f(s) = " and you're done.

Edit: Repaired according to the correction below
 
the radius of the semicircle is s/2 ...

\(\displaystyle \L A(s) = s^2 + \frac{1}{2}\pi \left(\frac{s}{2}\right)^2 = s^2\left(1 + \frac{\pi}{8}\right)\)
 
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