Answer: ≈ 1696460.03
Step-by-step explanation:
Formula:
[tex]P.D.=(\frac{\pi }{4})D^2LN[/tex] ⇒ [tex]\left(\frac{\pi }{4}\right)400^2\cdot 4.5\cdot 6[/tex]
Steps:
1. calculate pi and inset into equation
[tex]=0.785398(400^2)(4.5)(6)[/tex]
2. calculate exponents
[tex]=(0.785398)(160000)(4.5)(6)[/tex]
3 . multiply the rest
[tex]=(125663.706144)(4.5)(6)[/tex]
[tex]=(565486.677646)(6)[/tex]
4. divide by 2 to get the diameter
[tex]=\frac{3392920.065877}{2}[/tex]
5. round to the nearest hundredth (2 decimal points)
[tex]= 1696460.032938[/tex] ≈ 1696460.03
Hope this helped!