# SOLUTION: 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 section

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 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 3.14*70^2=x^2 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 Answer by dolly(163)   (Show Source): 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. Good Luck!!! dolly