As shown in the illustration, a section of...

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Question 1 of 205eccef9abacbc34ba4d450c6

As shown in the illustration, a section of 4.5 inch internal diameter standard weight, seamless steel pipe, has a wall thickness of .355". When the pipe is bent into a 90° turn, the length of the outside edge of the curve "A-B" will exceed the length of the inside edge of the curve "C-D" by __________. See illustration GS-0108.

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🔍 Key Concepts

• Relationship between diameter, radius, and circumference of a circle • How a 90° bend relates to a full circle (fraction of circumference) • How the pipe outside diameter relates to the distance between the inside and outside arcs of the bend

💭 Think About

• First, use the given inside diameter and wall thickness to find the pipe’s outside diameter. What is that value? • For two concentric arcs (inside and outside of the bend) with the same central angle, what formula gives the difference in arc lengths in terms of the distance between them and the angle in radians? • A 90° bend is what fraction of a full circle? How can you use that fraction and the pipe’s outside diameter to find how much longer A–B is than C–D?

✅ Before You Answer

• Be sure you are using the outside diameter, not the inside diameter, when finding the difference between the two arcs. • Convert 90° to radians (or think of it as a fraction of a full 360° circle) before using arc-length formulas. • After computing, check that your result is close to one of the choices and that the units are in inches.

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