The area of one piece of pizza is 9 pi in2. The pizza is cut into eighths. What the radius of the pizza pie?

The area of one piece of pizza is 9π in^{2 . The pizza is cut into eighths. What's the radius of the pizza pie?} 

Well.....if 9π in² represents 1/8 of the area, then the total area must be 8 times as much...i.e., 72π in²

So we have that the area of a circle is given by......  A = πr²

Therefore

72π in² = πr²

Dividing by pi on each side, we have

72 in² = r²

Taking the square root of both sides, we have   

 

r = √(72)in = 6√(2) in