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Change the degrees to radians, and the radians to degrees. a. 310^{\circ} b. -\frac{4\pi}{9}

Question:

Change the degrees to radians, and the radians to degrees.

a. 310{eq}^{\circ} {/eq}

b. -{eq}\frac{4\pi}{9} {/eq}

Radian and Degree:

In our real world, when we measure an angle then we either use degrees or radians. Since we know that {eq}180 {/eq} degrees is equal to {eq}\pi {/eq} radians so to convert from degrees to radians, we multiply the degrees by {eq}\dfrac{\pi}{180} {/eq} radians and to convert from radians to degrees, we multiply the radians by {eq}\dfrac{180}{\pi} {/eq} degrees.

Answer and Explanation: 1

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a.)

In degrees, a measure of an angle is given by:

{eq}310^{\circ} {/eq}

To convert this angle into its equivalent radians, we will multiply...

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Converting Between Radians and Degrees

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Chapter 11 / Lesson 10
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Discover the meaning of degrees and radians, their relationship, converting degrees to radians, radians to degrees formula, and some worked out examples.


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