Answer:
[tex]\frac{\pi}{2}[/tex] radians
Step-by-step explanation:
We can use the concept of proportion to answer this question.
The arc CD is given to be 1/4 in measure of the circumference of the circle. A complete circle is 360 degrees in measure which in radian measure is 2π
So, the arc which 1/4 in measure of the circumference will make an angle which is 1/4 of the angle of the entire circle.
i.e.
Angle formed by the arc =[tex]\frac{1}{4} \times 2 \pi =\frac{\pi}{2}[/tex] radians
Therefore, the radian measure of the central angle of arc CD is [tex]\frac{\pi}{2}[/tex] radians
