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Find Circular Arc Length
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Find Circular Arc Length

As an electrical foreman you are planning to install a 4 inches EMT conduit with 90 degree bend. The radius of the 90 degree bend is 50 ft as shown in the drawing below. How many 4 inches diameter of 22.5 degree EMT elbow do you need to order. And how many ten feet length of 4 inches diameter EMT conduit pipe and coupling do you need to order?

Formula Memory Recall : Arc Length Sector, S = θ * Radius ; Where: θ is in radian.

Application in underground conduit installation using 22.5 ° elbow.

Here you are using your algebra skills of substituting the given value to corresponding variable letter, Let S - represent the arc length measurement and R - the radius measurement both in feet. The calculator shown below embed the multiplication of 0.3927 the θ to the radius , R. ( 0.3927 x 50 = 19.635 ) . Furthermore, if you know the arc length say 39.270 the calculator automatically do the 0.3927 division and you will get the corresponding radius of 100 feet. By automating the formula and calculator you are speeding your decision making and minimizing error in computation. This is one example of INVBAT.COM - A.I. useful immediately to students, teacher, and employees.

Angle in radian θ
equivalent to 22.5 degree
=
S feet, Arc length

R feet, radius

Radius in feet = arc length sector in feet

Each arc length sector is rounded off. So the answer is 20 feet. If the standard factory pipe length is 10 feet then you need to order 2 pieces to get 20 feet.

ORDER 8 PCS - 10 Ft length x 4 inches diameter EMT conduit pipe and 5 pcs - 22.5 degree EMT elbow with 4 inches diameter and 4 pcs - EMT Coupling

Automatic bill of material is still work in progress

Order 4 inches diameter, 10 feet length, EMT Pipe; Quantity = Pieces
Order 4 inches diameter, Elbow, 22.5 Degree; Quantity = Pieces
Order 4 inches diameter, EMT Coupling; Quantity =
Change quantity accordingly to new pipe length
Pieces

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