SOLUTION: I just cannot figure this out. Please help me: a sign is in the shape of a square with a semicircle of a radius x adjoining one side and a semicircle of diameter x removed from th

Algebra.Com
Question 241467: I just cannot figure this out. Please help me: a sign is in the shape of a square with a semicircle of a radius x adjoining one side and a semicircle of diameter x removed from the opposite side. If the side of the square are length 2x, then write the area of the sign as a function of x.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I think it looks like this:
___
)___ )

The area of the semi-circle added to one side
is
The area of the square is
So far the area of the sign is

The semi-circle that is removed
has radius =
It's area is
So, the area of the sign is


Factor out

Factor out


Hope I got it

RELATED QUESTIONS

Area of a sign. A sign is in the shape of a square with a semicircle of radius x... (answered by solver91311)
An architect wants to design a window with an area of 24 square feet in the shape of a... (answered by ankor@dixie-net.com)
1)Perimeter. Write a formula for the perimeter of a square as a function of its area (answered by ankor@dixie-net.com)
I am having trouble figuring out part C of this problem: A farm has the shape of a... (answered by rothauserc)
Draw the outline of the unfolded figure needed to construct a right square pyramid whose... (answered by stanbon)
A Norman window is in the shape of a rectangle surmounted by a semicircle, as shown in... (answered by ankor@dixie-net.com)
Somebody please help me with this problem... and thank you in advance!! Square ABCD... (answered by Earlsdon)
Could you please help me with this question? A stained glass window is being designed (answered by scott8148)
What are the perimeter and area of the figure shown (it is a semicircle with two right... (answered by ankor@dixie-net.com)