How do you convert 315 degrees into radians?

Question

Dylan Arnold · Accepted Answer

#7/4 pi# #"radians"#

To convert degrees to radians, use this formula:

#color(brown)("radians"="degrees"*pi/180#

#rarr"radians"=(315*pi)/(180)#

#rarr"radians"=(cancel315^7*pi)/cancel(180)^4#

#color(green)(rArr7/4pi# #color(green)("radians"#

I hope this is helpful. :)

Delilah Aguilar · Answer

In this ratio:

#alpha_d:alpha_r=180°:pi#

in whitch #alpha_d# is the measure of the angle in degree,

and #alpha_r# is the measure of the angle in radians.

To convert an angle from radians to degrees, use this formula:

#a_d=(alpha_r*180°)/pi#

additionally, if you wish to convert a degree angle to radians:

#a_r=(alpha_d*pi)/(180°)#.

In our instance:

#a_r=(315°*pi)/(180°)=7/4pi#.

Delilah Aguilar · Answer

#7/4 pi# radians

Use the following formula to convert degrees to radians: degrees#*(pi# radians#/180# degrees#)# the #(pi/180)# means that for every #pi# radians you go around the unit circle, you've gone #180# degrees. So, taking our #315# degrees and plugging into our equation we get: #315# degrees#*(pi# radians#/180# degrees#)# After the "degrees" are eliminated, we are left with: #315/180*pi# radians #315# and #180# are both divisible by #45#, so #315/180=7/4# So, then we just need to multiply by #pi# radians and we get: #7/4*pi# radians = #7/4 pi# radians

Anna Andrews · Answer

undefined To convert 315 degrees to radians, you use the conversion factor:

$$ \text{radians} = \frac{\text{degrees} \times \pi}{180} $$

Substituting 315 degrees into the formula:

$$ \text{radians} = \frac{315 \times \pi}{180} $$

$$ \text{radians} = \frac{7\pi}{4} $$

So, 315 degrees is equal to $ \frac{7\pi}{4} $ radians.