Answer:
42.99° or approx 43°
Step-by-step explanation:
Diameter of circle d = 16 m
Lenght of arc l= 6 m
Let the angle measure of the arc be [tex] \theta [/tex]
By length of arc formula of a circle.
[tex]l = \frac{ \theta}{360 \degree} \times\pi d \\ \\ 6 = \frac{ \theta}{360 \degree} \times 3.14 \times \: 16 \\ \\ \theta = \frac{6 \times 360 \degree}{3.14 \times 16} \\ \\ \theta = \frac{2160\degree}{50.24} \\ \\ \theta = 42.9936306 \degree \\ \\ \theta = 42.99 \degree \approx \: 43 \degree[/tex]
