An angle of 60 radians can be converted to BLANK an angle of degrees. (Give an exact answer as a fraction, not a decimal approximation.)
1 radian is 180/π degrees, so ...
To convert radians to degrees, you can use the conversion factor 180/π.
Therefore, an angle of 60 radians can be converted to:
60 * (180/π) degrees.
Simplifying the expression, we get:
(60 * 180) / π degrees.
This can be further simplified:
10800 / π degrees.
So, an angle of 60 radians can be converted to an angle of:
10800 / π degrees, which is the exact answer as a fraction.
To convert an angle from radians to degrees, you can use the formula:
angle in degrees = angle in radians * (180 / π)
We are given an angle of 60 radians.
So, substituting the given value into the formula, we have:
angle in degrees = 60 * (180 / π)
Now, let's calculate this value:
angle in degrees = (60 * 180) / π
Simplifying further:
angle in degrees = 10800 / π
Therefore, an angle of 60 radians is equivalent to an angle of 10800/π degrees.