Question 153900This question is from textbook
: ventillating duct
The diameter of a circular ventilating duct is 140mm.This is joined to a square duct system .To ensure smooth airflow,the area of the circle and square sections must be equal.To the nearest millimeter,what should the length x of a side of the square section be?
my model :area of circle = ares of square
I know that this problems should be in a quadratic form,but i am having trouble with this one
Can you help me with this problem please.Thank you very muchThis question is from textbook
You can put this solution on YOUR website! Hi,
You are absolutely correct.
3.14 * 70^2 = x^2
==> 3.14 * 4900 = x^2
==> 15386 = x^2
Taking square root on both the sides,
124.04 = x
Thus to the nearest millimeter, the side of the square has to be 124 mm.