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Mathematics 8 Online
OpenStudy (anonymous):

Convert the angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places. 17 degrees

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

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

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

OpenStudy (anonymous):

alright, thanks a lot

OpenStudy (fibonaccichick666):

np

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