SOLUTION: what is the area of a tabletop that is square from inside and has semi circles on both sides. The lenght of the toptable is 10 feets.

Algebra ->  Surface-area -> SOLUTION: what is the area of a tabletop that is square from inside and has semi circles on both sides. The lenght of the toptable is 10 feets.      Log On


   



Question 314732: what is the area of a tabletop that is square from inside and has semi circles on both sides. The lenght of the toptable is 10 feets.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the table top has a square & semicircle on the sides.
It has two semicircles one on each side.
= 1 circle.
..
Area of circle = pi*r^2
radius of the circle = 1/2 length of the side.
Let klength of square side be x
end to end the length = 10 feet.
the radius of the semi circle = x/2
x+x/2 +x/2 = 10
2x = 10
x=5
area = pi*2.5^2
= 19.63 sq. ft
..
Area of square = L*W.
Since it is a square it is = L*L
=5*5
=25 sq. ft.
Total area = 25 +19.63= 44.63 sq. feet