SOLUTION: a rectangle with one side 4 c.m. is inscribed in a circle of radius 2.5 c.m. then find the aria of rectangle?

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Question 834211: a rectangle with one side 4 c.m. is
inscribed in a circle of
radius 2.5 c.m. then find
the aria of rectangle?

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Since the radius is 2.5, the diameter is 5.
A diagonal for the rectangle is equal to this diameter.
We have a triangle with side lengths of 5 and 4.
5 is the hypotenuse. Set x = the length of the
other side of the triangle.
So 4%5E2+%2B+x%5E2+=+5%5E2
16+%2B+x%5E2+=+25
add -16 to each side
x%5E2+=+9
x = 3
We have side lengths of 3 and 4 so
the area = 3*4 = 12