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13 T to degrees: Convert - Convert 896° to radians:

13 T to degrees: Convert - Convert 896° to radians:

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Converting between Degrees and Radians To convert between degrees and radians, you can use the following relationships: - \( \pi \) radians is equivalent to 180 degrees. - To convert radians to degrees, multiply by \( \frac{180}{\pi} \). - To convert degrees to radians, multiply by \( \frac{\pi}{180} \). --- #### Example Conversions **Convert \( \frac{13}{6} \pi \) to degrees:** \[ \text{Convert } \frac{13}{6} \pi \text{ to degrees:} \quad \Box \] **Convert 896° to radians:** \[ \text{Convert 896° to radians:} \quad \pi \cdot \Box \] --- **Practice Problems** 1. Enter your answer for the conversion of \( \frac{13}{6} \pi \) to degrees in the first box. 2. Enter your answer for the conversion of 896° to radians in terms of \( \pi \) in the second box. Once you have entered your answers, click the "Check Answer" button to verify your solutions. --- **Note:** Use these steps to solve the example conversions: - For \( \frac{13}{6} \pi \) to degrees: Multiply \( \frac{13}{6} \pi \) by \( \frac{180}{\pi} \). - For 896° to radians: Multiply 896 by \( \frac{\pi}{180} \). By practicing these, you will become proficient in converting between radians and degrees.
Transcribed Image Text:### Converting between Degrees and Radians To convert between degrees and radians, you can use the following relationships: - \( \pi \) radians is equivalent to 180 degrees. - To convert radians to degrees, multiply by \( \frac{180}{\pi} \). - To convert degrees to radians, multiply by \( \frac{\pi}{180} \). --- #### Example Conversions **Convert \( \frac{13}{6} \pi \) to degrees:** \[ \text{Convert } \frac{13}{6} \pi \text{ to degrees:} \quad \Box \] **Convert 896° to radians:** \[ \text{Convert 896° to radians:} \quad \pi \cdot \Box \] --- **Practice Problems** 1. Enter your answer for the conversion of \( \frac{13}{6} \pi \) to degrees in the first box. 2. Enter your answer for the conversion of 896° to radians in terms of \( \pi \) in the second box. Once you have entered your answers, click the "Check Answer" button to verify your solutions. --- **Note:** Use these steps to solve the example conversions: - For \( \frac{13}{6} \pi \) to degrees: Multiply \( \frac{13}{6} \pi \) by \( \frac{180}{\pi} \). - For 896° to radians: Multiply 896 by \( \frac{\pi}{180} \). By practicing these, you will become proficient in converting between radians and degrees.
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