Answer:
The arc CD is: 114.64°
Step-by-step explanation:
The given triangle inside the circle, we can get the trigonometric ratio such as
sin x = opposite / hypotenuse
Here:
The opposite side of angle x = 36.7/2
The hypotenuse = 21.8
Thus,
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
Thus, the angle formed at the center by CD is:
2 x 57.32 = 114.64°
Therefore, the arc CD is: 114.64°
