Convert the radian measure to degree measure. Use the value of π found on a calculator and round answers to two decimal places.
this is the formula for converting degrees to radians: angle x pi/180 radians to degrees: radians x 180/pi
\(\large s=r\theta \) where theta is in radians...
can you pleae show me work?
you're looking for arclength, s, soyou need to convert 35 degrees into radians to use the formula...
\(\large s=(15feet)(35 \cdot \frac{\pi}{180}) \)
\(\large s=(15feet)(35degrees \cdot \frac{\pi radians}{180degrees}) \) \(\large s=(15feet)(35\cancel{degrees} \cdot \frac{\pi radians}{180 \cancel {degrees}}) \) so you end up with feet as your units.... radians is "unit-less"
so what does s=?
convert degrees to radians: 35 x pi/180= 7/36pi then, multiply this by 15 ft to get s: 7/36pi x 15 ft= 35/12pi= 9.2
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