Answer:
Shana need to run 20.74 meters to pass the baton to Katie.
Step-by-step explanation:
The radius of the circular track for the relay handoff race is 9 meters.
Therefore, the total length of the circular track is the circumference of the circle i.e. [tex]2\pi r = \frac{2 \times 22 \times 9}{7} = 56.57[/tex] meters.
Shana is about to perform the race and her partner Katie is standing 132° away from her.
We have to calculate the circular track distance from Shana to Katie.
Now, 360° rotation is equivalent to a circular length of 56.57 meters.
Hence, 132° rotation will be equivalent to [tex]\frac{56.57 \times 132}{360} = 20.74[/tex] meters.
Therefore, Shana needs to run 20.74 meters to pass the baton to Katie. (Answer)
