answersLogoWhite

0


Best Answer

A whole circle is 360 degrees or 2*pi radians.

360 degrees = 2*pi radians

so that 1 degree = pi/180 radians

This gives the conversion factor of pi/180 to convert degrees to radians.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why multiply degree to pi by 180 to convert it to radian?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you convert degree measures into radian measures?

Multiply the degree measure by (1/(180 times pi))


Change to radian measure negative 95 degree?

You must multiply that by pi/180, to convert to radians.


What are the formulas that include the changes of degree to radian?

To convert from degrees to radians, multiply the number of degrees by (pi / 180). Pi is approximately 3.1416.


Convert from radian measure to degree measure?

Degrees = (180/pi)*Radians


How do you change trigonometry value into a degree?

You want to change radian to degrees. To change radian to degree, multiply the radian by 180 and divide by PI, where PI=3.14159. For example 2 radians = 2 (180)/3.14159 = 114.59 degrees.


How do you change radions to degrees and degrees to radians?

360o = 2*pi*radians or 180o = pi*radiansConvert 7*pi/15 radians to degrees1 radian = 180o/piTherefore: 7*pi/15 radians = 7*pi/15*180/pi = 84 degreesConvert 84 degrees to radians1o = pi/180 radianTherefore: 84o = 84*pi/180 radians = 7*pi/15 radians.Hint: pi always in radian and 180 always in degree. They are equivalents (not equal) to each other.To convert from radians into degree, first erase radian by dividing the given value by pi radian and then multiply the ratio got by 180 deg.Same way to convert from degree into radian, first erase degree by dividing the given value by 180 and then multiply the ratio got by pi radian.So interesting! Is it not?


How to convert degree to radian?

n degrees = n*tau/360 or n*pi/180 radians.


How do you convert angles to radian measure?

180 degrees = 1 pi radian. That means that there are 2 pi radians in a circle. Divide the number of degrees by 180 and you get the pi radians. You can also multiply the pi radians by 180 and get the number of degrees.


What is the formula for converting 15 degrees to radian?

1 degree = pi*radian/180 So therefore 15 times pi*radian/180 = pi*radian/12


What is the ansere to degree conversion?

That depends what the question is. To convert radians to degrees, you multiply by (180 / pi). To convert degrees to radians, you multiply by (pi / 180).


How to convert radian measure to degree measure?

1 rad = 180°/pi Example: 1.6 rad = 1.6(180°/pi) 1.6 rad = 2880°/pi


How do you convert angles from degrees to radians?

multiply the degree by (pi/180)