How many degrees = 1 radian?

Question

Answer it like it is.

Answer 1

There's exactly 180/pi degrees in one radian.

If you want an approximate/rounded answer due to the infinite places of pi:

180/3.1415926358 = 57.29577 degrees.

Answer 2

1 Radian

Answer 3

There's exactly 180/pi degrees in one radian.

If you want an approximate/rounded answer due to the infinite places of pi:

180/3.1415926358 = 57.29577 degrees.
or
57.2957795131 degrees = 1 radian
57°17'44.806247" = 1 radian

Answer 4

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1 radian is equal to 57.2degrees and a degree is roughly 0.017 radians

Answer 5

57.2957795131 degrees = 1 radian
57°17'44.806247" = 1 radian

Answer 6

360 degrees = 2pi radians

360/2pi degrees = 1 radian

180/pi degrees = 1 radian

Answer 7

360° = 2 pi radian

Dividing both sides by 2 yields
180° = pi radian


Divide both sides by the number 180 and we get
1° = pi/180 radian » 0.0174533 radian .
or instead divide both sides by the number pi and we get
1 radian = 180/pi degrees » 57.2958°

Converting radian to degrees
Multiply the angle in radian by

180 degrees
= ---------------
pi radian

Answer 8

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RE:
How many degrees = 1 radian?
Answer it like it is.

Answer 9

57.3 degrees.

That's a fact that was more relevant when people used slide rules than today when people use computers and calculators. Most slide rules even put a special mark at 57.3 on the slide rule.

The more popular conversion to get from degrees to radians is:

deg * (pi/180) = rad

To get from radians to degrees:

rad * (180/pi) = deg

Answer 10

2(pi)R = the circumfurance of a circle &
360 degrees in one circle

Thus, using the circle as a unity fraction:

2(pi)R = 360 degrees => R(pi) = 180 => 1 radian = ~57.3 degrees.