A Thin Wire Is Bent into the Shape of a Semicircle

question 64

Multiple Choice

A thin wire is bent into the shape of a semicircle $x ^ { 2 } + y ^ { 2 } = 4 , x > 0$ . If the linear density is 3 , find the exact mass of the wire. Select the correct answer.

• A) \(6 \pi ^ { 2 }\)
• B) \(2 \pi\)
• C) \(18 \pi\)
• D) \(3 \pi\)
• E) \(6 \pi\)

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