The Graph of the Following Curve Is Given $$r = 3 + 15 \sin 6 \theta$$

question 28

Multiple Choice

The graph of the following curve is given. Find the area that it encloses.
$$r = 3 + 15 \sin 6 \theta$$

• A) \(A = \frac { 27 \sqrt { 5 } } { 2 }\)
• B) \(A = \frac { 81 } { 2 } \pi\)
• C) \(A = 18 \pi\)
• D) \(A = \pi + \frac { 27 \sqrt { 5 } } { 2 }\)
• E) \(A = 18 \pi + \frac { 81 } { 2 }\)

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Definitions:

Flattened

Describes objects that have been pressed into a thinner shape or planar surface, often as a result of external pressure.

Low Pressure

A condition in the atmosphere where the air pressure is lower than surrounding areas, often leading to cloudy weather and precipitation.

High Temperature

A condition or state of matter characterized by a heat level that is significantly above the normal or expected temperature range.

Metamorphic Conditions

The environmental conditions, including heat, pressure, and chemical processes, that transform the mineral composition and structure of a rock.