Question #89947

74 degrees is the same as ___ radians. Rounded to the nearest hundredth of a radian?

Expert's answer

In a circle, 2π radians correspond to 360 degrees. Then we write the following equation

xπ=7401800;x=π 7401800;x1.29rad{x \over \pi} ={ 74^0 \over 180^0}; \rArr {x=\pi \cdot \ {74^0 \over 180^0}}; \rArr x \approx 1.29 rad

74 degrees is the same as _1.29__ radians.




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