10-18-2013, 06:21 PM
|
|
|
Just Doing My Own Thing
Industry Role:
Join Date: Jan 2011
Location: London, Spain, New Zealand, GFY - Not Croydon...
Posts: 25,315
|
Quote:
Originally Posted by Project Manager
The question is to find the ratio of larger sized pizza to a smaller sized pizza.
Yes, the formula for area is A = pi * (d/2)^2 = pi * d^2 / 4
What is important that you need a ratio, and for this you don't need pi. The only thing you need is this: 22^2 / 18^2, because everything goes away. In fact, you can reduce it further to 11^2 / 9^2 which is 121 / 81. This is same as (11/9)^2.
It all comes to 1.4938271604938271604938271604938
Same thing slower:
Say Ab is area of big pizza, and As is area of small pizza.
db is diameter of big pizza = 22; ds is for small = 18.
Ab = pi * db^2 / 4
As = pi * ds^2 / 4
Ab/As = [pi * db^2 / 4] / [pi * ds^2 / 4] = db^2 / ds^2
|
Agreed - So the answer to the question as asked is:
1:1.49
|
|
|