SOLUTION: Will a 15" by 16" rectangle fit inside a 22.5" circle? I want to order a rectangular pizza stone to fit on a 22.5"diameter grill and I'm afraid it won't fit.

Algebra ->  Circles -> SOLUTION: Will a 15" by 16" rectangle fit inside a 22.5" circle? I want to order a rectangular pizza stone to fit on a 22.5"diameter grill and I'm afraid it won't fit.      Log On


   

Question 314242: Will a 15" by 16" rectangle fit inside a 22.5" circle?
I want to order a rectangular pizza stone to fit on a 22.5"diameter grill and I'm afraid it won't fit.
Found 2 solutions by nerdybill, Fombitz:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
You just have to worry about the diagonals of the rectangular pizza stone.
.
Apply Pythagorean theorem:
Let x = diameter
then
x^2 = 16^2 + 15^2
x^2 = 256 + 225
x^2 = 481
x = 21.93 inches
.
It will just barely fit. Now the question is, are there any obstructions in the way -- such as, the sides of your grill or the grill itself (is it flat?).

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

D=2%2Asqrt%287.5%5E2%2B8%5E2%29=2%2Asqrt%2856.25%2B64%29=21.93
Twice the diagonal of the rectangle is 21.93 inches.
Hopefully the diameter of the grill is on the inside and not outside.
It'll fit but it will be close.