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How many radians are in 1 degree? A (180)/(pi ) B. (pi )/(180) C. (pi )/(360) D. (360)/(pi )

Problemas

How many radians are in 1 degree?
A (180)/(pi )
B. (pi )/(180)
C. (pi )/(360)
D. (360)/(pi )

How many radians are in 1 degree? A (180)/(pi ) B. (pi )/(180) C. (pi )/(360) D. (360)/(pi )

Solución

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Gregorioprofessionell · Tutor durante 6 años
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The correct answer is B. $\frac{\pi}{180}$.<br /><br />To convert degrees to radians, we need to multiply the degree measure by the conversion factor $\frac{\pi}{180}$. This is because there are $\pi$ radians in 180 degrees.<br /><br />So, to find how many radians are in 1 degree, we multiply 1 degree by the conversion factor $\frac{\pi}{180}$:<br /><br />$1 \text{ degree} \times \frac{\pi}{180} = \frac{\pi}{180} \text{ radians}$<br /><br />Therefore, there are $\frac{\pi}{180}$ radians in 1 degree.
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