SOLUTION: What is the area of a square that is inscribed in a circle and has a radius of 3cm?

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Question 308447: What is the area of a square that is inscribed in a circle and has a radius of 3cm?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
if you draw the square inside the circle the squares four corners are each a point on the circle. the radius is drawn from the center of the circle to a point on the circle. so draw 2 radiuses to 2 points on one side of the square which will create an isosoles triangle since the raduis counts as 2 of the sides.
now the r=3
so side DISABLED_event_one= 3 , side two=3 , side three=?
a%5E2%2Bb%5E2=c%5E2
a=3
b=3
c= one side of the square
3%5E2%2B3%5E2=c%5E2
9%2B9=c%5E2
18=c%5E2
sqrt%2818%29=sqrt%28c%5E2%29
sqrt%2818%29=c
Area of square is s%5E2 s=side
%28sqrt%2818%29%29%5E2=A
highlight%2818=A%29