Answer:
14.9m
Step-by-step explanation:
Say that the centre point is O, the letter to make it easier to explain.
The angle DOB is equal to the angle AOE because they're vertically opposite
We also know that angle DOB = 52 + 90 = 142, so angle AOE = 142
To work out the length of the segment, it would be to find the circumference and multiply with the angle over 360:
πd × [tex]\frac{142}{360}[/tex]
(where d = diameter)
we know that the diameter is 12m so we can input this:
12π × [tex]\frac{142}{360}[/tex] = 14.87020523
to the nearest tenth = 14.9m
