SOLUTION: A square is to be built inside a circular area. Each corner of the square touches the circle. If the radius of the circle is 3, how much greater is the area of the circle than the

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A square is to be built inside a circular area. Each corner of the square touches the circle. If the radius of the circle is 3, how much greater is the area of the circle than the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 458045: A square is to be built inside a circular area. Each corner of the square touches the circle. If the radius of the circle is 3, how much greater is the area of the circle than the square?
A. 9-9/2pi, B. 9-9pi, C. 9-9pi, D. 9pi-9, E. 9pi-18
I already did 3.14x9= 28.26 area of the circle.
Which is 9pi
Which one is it?

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The diameter of the circle forms the diagonal of the square. The diagonal of
the square makes an isosceles triangle.
The length of the other two sides is 6%2Fsqrt%282%29. The area of the square is %286%2Fsqrt%282%29%29%5E2+=+36%2F2+=+18
The difference of the areas is: 9pi+-+18
Ans: E