The radian measure of an angle of 182 degrees is
To find the radian measure of an angle, we need to know that 1 radian is equal to approximately 57.3 degrees.
Therefore, to find the radian measure of an angle in degrees, we can use the following conversion factor:
Radian measure = Angle in degrees * (π/180)
For the given angle of 182 degrees, we can calculate the radian measure as follows:
Radian measure = 182 * (π/180)
Using π (pi) as an approximation of 3.14, we can simplify this calculation:
Radian measure ≈ 182 * (3.14/180)
Radian measure ≈ 3.17
Therefore, the radian measure of an angle of 182 degrees is approximately 3.17 radians.