Rewrite each degree measuring in radians and each radian measure in degrees. 7𝜋/3
To rewrite the degree measure in radians, we can use the formula:
radians = degrees * (π/180)
Substituting the given degree measure:
radians = (7π/3) * (π/180)
Simplifying the expression:
radians = 7π^2/540
To rewrite the radian measure in degrees, we can use the formula:
degrees = radians * (180/π)
Substituting the given radian measure:
degrees = (7π/3) * (180/π)
Simplifying the expression:
degrees = 420/3
degrees = 140
To rewrite a degree measure in radians, we can use the conversion factor that there are π radians in 180 degrees.
So, to rewrite 7π/3 in radians, we can multiply it by the conversion factor:
(7π/3) * (180 degrees/π radians)
Simplifying this expression, we find:
(7 * 180 degrees) / 3
= 1260 degrees / 3
= 420 degrees
Therefore, 7π/3 is equivalent to 420 degrees.
To rewrite a radian measure in degrees, we can use the inverse of the previous conversion factor:
180 degrees/π radians.
So, to rewrite 7π/3 in degrees, we can multiply it by the conversion factor:
(7π/3) * (180 degrees/π radians)
Simplifying this expression, we find:
(7 * 180 degrees) / 3
= 1260 degrees / 3
= 420 degrees
Therefore, 7π/3 radians is also equivalent to 420 degrees.