Question

(a) the radian measure of an angle θ is the length of the ---select--- that subtends the angle in a circle of radius ---select---. (b) to convert degrees to radians, we multiply by. (c) to convert radians to degrees, we multiply by. resources read it

Explanation:

(a) By definition, the radian measure of an angle in a circle is the length of the arc that subtends the angle in a circle of radius 1.
(b) Since 180 degrees is equal to $\pi$ radians, to convert degrees to radians, we multiply by $\frac{\pi}{180}$.
(c) To convert radians to degrees, we use the fact that $\pi$ radians is 180 degrees, so we multiply by $\frac{180}{\pi}$.

Answer:

(a) arc; 1
(b) $\frac{\pi}{180}$
(c) $\frac{180}{\pi}$