Solve the Formula for the Indicated Letter $$A = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } r$$

question 83

Multiple Choice

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
- $$A = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } r$$

• A) \(r = \sqrt { \frac { 3 \mathrm {~A} } { \pi } }\)
• B) \(r = \frac { 3 \pi } { A }\)
• C) \(\mathrm { r } = 3 \sqrt { \mathrm { A } \pi }\)
• D) \(r = \sqrt { \frac { \mathrm { A } } { 3 \pi } }\)

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Definitions:

Mediating Variables

Factors that explain the relationship between two variables, often revealing the process or mechanism through which an effect occurs.

Path-goal Theory

A leadership theory that suggests a leader's behavior is directly related to the satisfaction, motivation, and performance of their subordinates by clarifying paths to achieve their goals.

Relations-oriented Behavior

Leadership behavior focused on building strong interpersonal relationships, fostering team cohesion, and supporting the personal needs of team members.

Task-oriented Behavior

A style of leadership or group interaction focused primarily on the accomplishment of tasks and goals.