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) \(A = 18 \pi + \frac { 81 } { 2 }\)

---

Definitions:

Consumer Surplus

The difference between the total amount that consumers are willing to pay for a good or service and the total amount that they actually pay.

Government Policy

Principles and actions by which a government aims to influence or control the economy, social and financial matters.

Consumer Surplus

Represents the difference between the total amount that consumers are willing to pay for a good or service and the total amount they actually pay.

Policy Price

The price set by government policy, often used in the context of agricultural products or utilities.