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.

Answer 1

The inscribed circle is simple.

Answer 2

Alright. So its 4cm, really?

Answer 3

Right.

Answer 4

Now we need to look at the circumscribed circle.

Answer 5

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

Answer 6

Ok, I will. ALso, sorry for disapearing.

Answer 7

Is it 128?

Answer 8

\(a^2 + b^2 = c^2\)

\(c^2 = a^2 + b^2\)

\(x^2 = (4~cm)^2 + (4~cm)^2 \)

\(x^2 = 16~cm^2 + 16~cm^2\)

\(x^2 = 32~cm^2\)

\(x = \sqrt{32~cm^2} \)

\(x = \sqrt{16 \times 2~cm^2} \)

\(x = 4\sqrt 2~cm\)