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December 20, 2014

December 20, 2014

Posted by **kim** on Thursday, January 14, 2010 at 5:38pm.

- pre calc -
**bobpursley**, Thursday, January 14, 2010 at 5:40pmThe diameter of the circle is 2*Radius

area of square= diameter^2= 4 * R^2

- pre calc -
**kim**, Thursday, January 14, 2010 at 5:42pmso that is the answer

- pre calc -
**Damon**, Thursday, January 14, 2010 at 5:47pmNo, the diameter of the circle is the diagonal of the square

Side of square = D/sqrt2

Area of square = D^2/2

but D = 2 R

so

area of square = 4 R^2/2 = 2 R^2

- pre calc -
**kim**, Thursday, January 14, 2010 at 5:50pmwhich one is the correct answer

- pre calc -
**Damon**, Thursday, January 14, 2010 at 5:52pmDraw a graph. Start at x = 0 and work your way up to x = pi/6

- pre calc -
**Damon**, Thursday, January 14, 2010 at 5:57pmOh, sorry, worong question. Draw your square inside the circle and you will see that the diagonal of the square is the diameter of the circle.

The diagonal of the square divides the square into two 45,45,90 triangles

The hypotenuse of a 45,45,90 triangle id the side times sqrt 2

s^2+s^2 = diagonal^2

2 s^2 = diagonal^2

s = (1/sqrt2) diagonal

so

diagonal = side * sqrt 2 = diameter

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