Homework Help: Calculus

Posted by -Untamed- on Tuesday, October 4, 2011 at 10:11pm.

A square is inscribed in a circle. If the area of the circle is 144(pi)cm*squared* --sorry the square root thing isnt showing up. Then the exact perimeter of the square is...

I really dont get how to solve this, but the answer is supposed to somehow be 48V2 cm

Calculus - Reiny, Tuesday, October 4, 2011 at 10:37pm
Make a sketch.
Did you notice that the diameter of the circle is the diagonal of the square?
area of circle = πr^2
πr^2 = 144π
r^2 = 144
r = 12 , so the diameter = 24

let each side of the square be x
then x^2 + x^2 = 24^2
2x^2 = 576
x^2 = 288
x = √288 = 12√2

perimeter = 4x = 4(12√2) = 48√2

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