Answer:
Option D is correct
the arc length of arc CD in the circle is, 11.780 feet
Step-by-step explanation:
Formula for arc length is given by:
[tex]l =r \theta[/tex] ....[1]
where
r is the radius and [tex]\theta[/tex] is in radian.
From the figure we have;
r = 15 ft
[tex]\theta = 45^{\circ}[/tex]
To convert degree in radian:
1 degree = 0.0174533 radian
then;
45 degree = 0.7853985 radian.
Substitute these values in [1] we have;
[tex]l = 3.14 \cdot 0.7853985 = 11.7809775[/tex]
Therefore, the arc length of arc CD in the circle is, 11.780 feet
