A Thin Wire Is Bent into the Shape of a Semicircle

question 124

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 $4$ , find the exact mass of the wire.

• A) \(3 \pi\)
• B) \(18 \pi\)
• C) \(8 \pi\)
• D) \(8 \pi ^ { 2 }\)
• E) \(2 \pi\)

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Definitions:

Allergen

A substance that triggers an allergic reaction in susceptible individuals.

Epidermis

The outermost layer of skin, providing a waterproof barrier and creating skin tone.

Prick Test

A diagnostic method where a small drop of allergen is prick-applied to the skin to check for allergic reactions.

Inflammation

A biological response to harmful stimuli, such as pathogens, damaged cells, or irritants, characterized by redness, heat, swelling, and pain.