SOLUTION: I am trying to find the area of a track. The picture is a rectangle connected to two full circles (half the circles are partially covering both sides of the rectangle). The le

Algebra ->  Circles -> SOLUTION: I am trying to find the area of a track. The picture is a rectangle connected to two full circles (half the circles are partially covering both sides of the rectangle). The le      Log On


   



Question 1150817: I am trying to find the area of a track. The picture is a rectangle connected to two full circles (half the circles are partially covering both sides of the rectangle).
The length and width of the rectangle is 20ft x 12ft. The diameter of the circles are also 12ft.
I know the area of the rectangle is 240 ft. and the radius of the circles is 6ft. To find the correct area of the rectangle, do I subtract the 240 feet from the areas of both circles or just one circle? I am thinking it is both circles, but I just want to be sure.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Your description is not clear.

The area of the rectangle is 20x12 = 240 square feet. I don't know what you mean by the "correct area" of the rectangle.

I can't picture full circles on each end of the rectangle, with "half the circles partially covering both sides of the rectangle". I picture a rectangle with a half circle at each end; I don't know what to make of the description that there are full circles at each end of the rectangle.

If indeed the picture is simply a rectangle with half circles added at each end, then the total area is the area of the rectangle plus the area of two half circles, and that of course is the area of the rectangle plus the area of one circle.