/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 Convert each angle in degrees to... [FREE SOLUTION] | 91Ó°ÊÓ

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Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$300^{\circ}$$

Short Answer

Expert verified
The angle of \(300^{\circ}\) is equal to \(5\pi/3\) radians.

Step by step solution

01

Identify the conversion factor from degrees to radians

The conversion factor from degrees to radians is \(\pi / 180^{\circ}\). This is because in the unit circle, an entire rotation is \(360^{\circ}\) or \(2\pi\) radians. Therefore, half of the rotation, \(180^{\circ}\) is equivalent to \(\pi\) radians.
02

Convert the given angle from degrees to radians

To convert the given angle \(300^{\circ}\) to radians, multiply \(300^{\circ}\) by the conversion factor \(\pi / 180^{\circ}\). Thus, the calculation is as follows: \(300 \times (\pi / 180^{\circ}) = 5\pi/3\).

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