SOLUTION: a window has a shape of a square of side s, with a semicircle of diameter s above it. Write an equation that expresses the total of the window as a function of s

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a window has a shape of a square of side s, with a semicircle of diameter s above it. Write an equation that expresses the total of the window as a function of s      Log On


   



Question 159187: a window has a shape of a square of side s, with a semicircle of diameter s above it. Write an equation that expresses the total of the window as a function of s
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
"area of the square" + "area of semi-circle"
.
"area of the square" = s^2
.
"area of the square" = (1/2)(pi)(s/2)^2
"area of the square" = (1/2)(pi)(s^2/4)
"area of the square" = (pi)(s^2/8)
.
Therefore,
"area of the square" + "area of semi-circle"
s^2 + (pi)(s^2/8)
s^2(1 + (pi)/8)
.
if pi = 3.14
s^2(1 + (pi)/8)
s^2(1 + 3.14/8)
1.3925s^2