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

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Question 61271This question is from textbook
: Area of a window. A window is in the shape of a square of side s, with a semicircle of a diameter s above it. Write a function that expresses the total area of a window s a function of s.
Gracias This question is from textbook

Found 2 solutions by checkley71, joyofmath:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
AREA OF THE WINDOW IS S^2
THE AREA OF THE SEMI CIRCLE ABOVE IT HAS AN AREA OF PI*R^2/2 WHERE THE R=S/2
THUS WE HAVE S^2+(PI*S/2)/2 FOR THE ENTIRE AREA

Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the square is s%5E2.
The area of a circle = pi%2Ar%5E2.
The area of a semicircle = %28pi%2Ar%5E2%29%2F2.
In this case the radius of the semicircle = s%2F2.
So, the area of the semicircle = pi%2A%28%28s%2F2%29%5E2%29%2F2.
This simplifies to pi%2As%5E2%2F8.
So, the area of the square plus the semicircle = s%5E2%2Bpi%2As%5E2%2F8.