Mathematics
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OpenStudy (anonymous):
Convert the angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 17 degrees
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OpenStudy (anonymous):
the confusion lies in the decimal places part.
OpenStudy (anonymous):
huh….
OpenStudy (fibonaccichick666):
ok, so, let's start with this, how many radians are in 360 degrees?
OpenStudy (anonymous):
2pi
OpenStudy (fibonaccichick666):
good, so now, you want to set up a proportion where your variable is the amount of radians 17 degrees is
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OpenStudy (fibonaccichick666):
(you can also use 180 deg and pi, but either works)
OpenStudy (anonymous):
so something like \[2\pi/360 = ?/17\]
OpenStudy (fibonaccichick666):
yup yup
OpenStudy (anonymous):
or change that to pi/180
OpenStudy (fibonaccichick666):
make it pi and 180 so your numbers are smaller, and solve
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OpenStudy (anonymous):
alright. i got approximately 0.2967
OpenStudy (anonymous):
from there is it just 0.30?
OpenStudy (anonymous):
and would that be 0.3 pi? or not
OpenStudy (fibonaccichick666):
\[17\pi=180x\]
\[x=\frac{17\pi}{180}\]
\[x\approx .2967\]
\[x\approx .30\]
OpenStudy (fibonaccichick666):
yup just .30, make sure you keep the 0 since they specified 2 decimal places
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OpenStudy (anonymous):
alright, thanks a lot
OpenStudy (fibonaccichick666):
np