If S Denotes the Length of the Arc of a Circle

question 311

Multiple Choice

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.
- $\mathrm { r } = 15.3$ centimeters, $\theta = 3.5$ radians, $\mathrm { s } =$ ?

• A) \(55.6 \mathrm {~cm}\)
• B) \(53.6 \mathrm {~cm}\)
• C) \(52.6 \mathrm {~cm}\)
• D) \(54.6 \mathrm {~cm}\)

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Definitions:

Sharpe Measure

A metric that evaluates the risk-adjusted return of an investment by comparing its excess return (over risk-free rate) to its standard deviation of returns.

Residual Standard Deviation

A measure of the amount of variance in a dataset or model that is not explained by the predictive variables or the model itself, often used in regression analysis.

Beta

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Treynor's Measure

A performance metric for determining how well an investment compensates the investor for its risk, comparing returns to the market portfolio.