answersLogoWhite

0

By definition, the number of radians in one complete revolution is given by the ratio of the circumference of a circle to its radius.

The circumference of a circle of radius r is of length 2πr.

There are thus 2πr/r = 2π radians in one revolution.

So, 2π radians = 360°

Then 1 radian = 360/2π = 57.296° or 57° 17'

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
RossRoss
Every question is just a happy little opportunity.
Chat with Ross

Add your answer:

Earn +20 pts
Q: How do you prove 1 radian is equal to 360 degree?
Write your answer...
Submit
Still have questions?
magnify glass
imp