If a Denotes the Area of the Sector of a Circle

question 206

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.
- $$\theta = \frac { \pi } { 4 } \text { radians, } \mathrm { A } = 50 \text { square meters, } \mathrm { r } = \text { ? }$$

• A) 11.29 m
• B) 4.43 m
• C) 19.63 m
• D) 78.5 m

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Definitions:

Mechanical Principles

The basic laws and concepts of physics that apply to mechanical systems, including motion, forces, energy, and the properties of materials.

Nonsummativity

The principle that the whole is greater than the sum of its parts, often cited in contexts like teamwork and organizational behavior.

Systems Perspective

An analytical approach that views entities as complex wholes comprised of interrelated parts, suggesting that understanding each part requires context of the entire system.

Equifinality

The ability of an open system to reach the same final state from differing initial conditions and by a variety of paths.