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a square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter. find the area of the table with and without the drop leaves.

troller27  Apr 6, 2017
 #1
avatar+7324 
+3

Here is a top down view of the table.

The purple semicirles are the leaves. The blue square is the table.

 

 

As you can see, the table can be split up into two shapes: a square and a circle.

 

The area without the drop leaves = the area of the square.

The area with the drop leaves = the area of the square + the area of the circle.

 

So... let's start by finding the area of each shape.

the area of the square = length * width = 4 * 4 = 16 sq. ft.

the area of the circle = π * radius2 = π * (4/2)2 = π * 22 = 4π sq. ft.

 

So..

The area without the drop leaves = the area of the square = 16 sq. ft.

The area with the drop leaves = the area of the square + the area of the circle. = 16 + 4π ≈ 28.566 sq. ft.

hectictar  Apr 7, 2017
 #2
avatar+89806 
+1

Very nice, hectictar.....

 

 

cool cool cool

CPhill  Apr 7, 2017
 #3
avatar+7324 
+2

Thank you! I appreciate it smileysmileysmileysmiley

hectictar  Apr 7, 2017
 #4
avatar+3171 
+1

Very nice! Keep it up!

tertre  Apr 7, 2017

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