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The radian measure of an angle of 182 degrees is ?
![Steve](/images/users/0/1/128x128.jpeg)
11 years ago
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
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) * (Ï€/180)
Plugging in the given angle of 182 degrees:
Radian Measure = 182 * (Ï€/180)
2. Simplify the expression:
Radian Measure = (182Ï€) / 180
3. If needed, further simplify the expression:
Radian Measure ≈ 1.007π
Therefore, the radian measure of an angle of 182 degrees is approximately 1.007Ï€ radians.