Answer: For the bolded arc (angle of 107°) the lenght is 11.20 meters.
Step-by-step explanation:
Here we have two arcs.
one where the angle is 107°.
And for the other, we do not know the value of the angle, but we know that a circle has (between the start of quadrant 1 and the end of quadrant 4) an angle of 360°.
Then the missing angle is 360° - 107° = 253°.
Now, the length of an arc is equal to:
Arc = angle*pi*radius
where the angle is in radians, pi = 3.14.
In this case, the radius is = 6m.
To transform an angle from degrees to radians, we can do:
180° = 3.14
then for an angle A in degrees, we have: A => A*(3.14/180°) = (A/180°)*3.14
Then, the length of the shorter arc (the bolded one) is:
A1 = (107°/180°)*3.14*6m = 11.20m
For the other arc we do the same:
A2 = (257°/180°)*3.14*6m = 26.90 m
