Find the Area of the Region Lying Between the Loops $r = 2 - 4 \cos \theta$

question 35

Multiple Choice

Find the area of the region lying between the loops of $r = 2 - 4 \cos \theta$

• A) \(4 ( 2 \sqrt { 3 } - 3 \pi )\)
• B) \(4 ( \sqrt { 3 } + 2 \pi )\)
• C) \(8 \sqrt { 3 } - \pi\)
• D) \(4 ( 3 \sqrt { 3 } + \pi )\)
• E) \(12 \sqrt { 3 } + \pi\)

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Definitions:

Bird Songs

Vocalizations produced by birds, which can serve various functions including territorial defense, attraction of mates, and communication of environmental cues.

Bee Dances

A form of communication among bees where they perform specific movements to indicate the direction and distance of food sources to other bees.

Infinite Combinations

The potential for limitless mixing and matching of components in a system or set.

Ambiguity

The quality of being open to more than one interpretation; lack of definitiveness or clarity.