The side length of the square is 8cm.

I need help figuring out the radius of the inscribed and the circumscribed circles.

Please help! I may not respond immediately, I may have to run soon.

Question

The side length of the square is 8cm.

I need help figuring out the radius of the inscribed and the circumscribed circles. 

Please help! I may not respond immediately, I may have to run soon.

mathstudent55 · Answer

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mathstudent55 · Answer

The inscribed circle is simple.

anonymous · Answer

Alright. So its 4cm, really?

mathstudent55 · Answer

Right.

mathstudent55 · Answer

Now we need to look at the circumscribed circle.

mathstudent55 · Answer

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mathstudent55 · Answer

Use the Pythagorean theorem to find x, the radius of the circumscribed circle.
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anonymous · Answer

Ok, I will. ALso, sorry for disapearing.

anonymous · Answer

Is it 128?

mathstudent55 · Answer

$a^2 + b^2 = c^2$

$c^2 = a^2 + b^2$

$x^2 = (4~cm)^2 + (4~cm)^2 $

$x^2 = 16~cm^2 + 16~cm^2$

$x^2 = 32~cm^2$

$x = \sqrt{32~cm^2} $

$x = \sqrt{16 \times 2~cm^2} $

$x = 4\sqrt 2~cm$