Answer to Question #89947 in Trigonometry for Noah Reynolds

Question

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

Answer 1

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

$${x \over \pi} ={ 74^0 \over 180^0}; \rArr {x=\pi \cdot \ {74^0 \over 180^0}}; \rArr x \approx 1.29 rad$$

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