Answer:
The coordinates of the point where ant stopped will be (0,1)
Step-by-step explanation:
Given an ant is sitting on the perimeter of the unit circle at the point (1,0). If the ant travels a distance of [tex]2\pi^3[/tex] in the counter-clockwise direction, we have to find the coordinates of point where ant stops.
The ant is sitting at point A.
The circumference of unit circle=2πr=2π(1)=2π units
Now given ant travel a distance of [tex]2\pi^3[/tex].
We have to find the circles completed to find the coordinates of the point.
In order to find circles we have to divide by 2π
[tex]\frac{2\pi^3}{2\pi}=\pi^2[/tex] (First circle)
[tex]\frac{\pi^2}{2\pi}=\frac{\pi}{2}[/tex] (Second circle)
First circle is completely covered then first quadrant of second circle is completed.
Hence, the coordinates of the point where ant stopped will be (0,1)
