Find the Area of the Region Specified in Polar Coordinates $r = 6 \sin \theta$

question 96

Multiple Choice

Find the area of the region specified in polar coordinates.
-the region inside $r = 6 \sin \theta$ and outside $r = 3$

• A) \(9 \left( \frac { \sqrt { 3 } } { 4 } + \frac { \pi } { 3 } \right)\)
• B) \(9 \left( \frac { \sqrt { 3 } } { 2 } + \frac { \pi } { 3 } \right)\)
• C) \(9 \left( \frac { \sqrt { 3 } } { 4 } + \frac { 2 \pi } { 3 } \right)\)
• D) \(9 \left( \frac { \sqrt { 3 } } { 2 } + \frac { 2 \pi } { 3 } \right)\)

---

Definitions:

Ulcers

Open sores that develop on the skin, mucous membranes, or lining of the stomach, often resulting from infection or inflammation.

Obesity

A medical condition characterized by excessive body fat accumulation, which poses a risk to health, including increased chances of heart disease, diabetes, and high blood pressure.

Bulimia Nervosa

An eating disorder characterized by binge eating followed by purging, often through vomiting or using laxatives.

Anorexia Nervosa

A psychological and potentially life-threatening eating disorder characterized by an extremely low body weight relative to stature, an intense fear of gaining weight, and a distorted perception of body weight and shape.