Find the Length of the Arc on a Circle of Radius

question 374

Multiple Choice

Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal
places.
-A wheel with a 32-inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 14 inches. What is the angle (to the nearest tenth of a degree) between the radii to the two marks?

• A) \(25.1 ^ { \circ }\)
• B) \(27.1 ^ { \circ }\)
• C) \(23.1 ^ { \circ }\)
• D) \(21.1 ^ { \circ }\)

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Definitions:

Marginal Rate

The rate at which one variable changes as another variable changes by one unit, commonly used in the context of tax rates or marginal rate of substitution in economics.

Transformation

The process of changing the state, form, or structure of something, often seen in contexts ranging from technology to economics.

Production Possibility

Represents various combinations of amounts of two or more goods or services that can be produced within a given time period, with a given amount of resources, and with technology constraints.

Capital

Capital refers to financial assets or the financial value of assets, such as funds held in deposit accounts as well as the physical factors of production.