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? }

Guest Apr 14, 2014

#1**0 **

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 in^{2} represents 1/8 of the area, then the total area must be 8 times as much...i.e., 72π in^{2}

So we have that the area of a circle is given by...... A = πr^{2}

Therefore

72π in^{2} = πr^{2}

Dividing by pi on each side, we have

72 in^{2} = r^{2}

Taking the square root of both sides, we have^{ }

r = √(72)in = 6√(2) in

Chris Apr 14, 2014