The radian measure of an angle of 182 degrees is ?
182 * pi/180
To find the radian measure of an angle, we can use the fact that there are π radians in 180 degrees.
1. First, convert the angle from degrees to radians using the formula:
Radian Measure = (Angle in Degrees) * (π/180)
Plugging in the given angle of 182 degrees:
Radian Measure = 182 * (π/180)
2. Simplify the expression:
Radian Measure = (182π) / 180
3. If needed, further simplify the expression:
Radian Measure ≈ 1.007π
Therefore, the radian measure of an angle of 182 degrees is approximately 1.007π radians.