SOLUTION: if a circle with diameter 2700m it containing a square then what is the area of square

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Question 947574: if a circle with diameter 2700m it containing a square then what is the area of square
Answer by macston(5194) About Me  (Show Source):
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The diameter of the circle is the diagonal of the square, forming an isoceles right triangle with the diameter as hypotenuse and sides of triangle as legs.
So A%5E2%2BB%5E2=C%5E2 and in a square, A and B are equal, and C= diameter:
A%5E2%2BA%5E2=C%5E2
2A%5E2=C%5E2%29 Divide each side by 2
A%5E2=%28C%5E2%29%2F2 find the square root of each side
A=sqrt%28%28C%5E2%29%2F2%29
A=C%2Fsqrt%282%29 and since A is the length of the side of the square and C=diameter of the circle:
side of square (S)=diameter%2Fsqrt%282%29=2700m%2Fsqrt%282%29
Area of a square=side squared
A=S%5E2=%282700m%2F%28sqrt%282%29%29%29%5E2=2700%5E2%2F2=7290000%2F2=3645000 sq meters
ANSWER: Area of the square is 3.645%2A10%5E6m%5E2