If a Denotes the Area of the Sector of a Circle

question 305

Multiple Choice

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.
- $r = 39.7$ centimeters, $\theta = \frac { \pi } { 14 }$ radians, $A =$ ?

• A) \(176.8 \mathrm {~cm} ^ { 2 }\)
• B) \(56.3 \mathrm {~cm} ^ { 2 }\)
• C) \(4.5 \mathrm {~cm} ^ { 2 }\)
• D) \(353.6 \mathrm {~cm} ^ { 2 }\)

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Definitions:

Deadweight Loss

The loss of economic efficiency that can occur when the equilibrium for a good or service is not achieved or is distorted.

Equilibrium

An economic situation in which no individual would be better off doing something different.

Perfectly Inelastic

A situation where the demand or supply for a good is completely unresponsive to changes in price.

Deadweight Loss

A loss of economic efficiency that can occur when the optimal allocation of resources is not achieved, often due to market failures or government interventions.