Question

Suppose an ant is sitting on the perimeter of the unit circle at the point (1,0). if the ant travels a distance of 2π3 in the counter-clockwise direction, then the coordinates of the point where the ant stops will be

Answer 1

I could be wrong but I think it's (1,2Π3-1)

Answer 2

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 $2\pi^3$ 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 $2\pi^3$.

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

$\frac{2\pi^3}{2\pi}=\pi^2$       (First circle)

$\frac{\pi^2}{2\pi}=\frac{\pi}{2}$    (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)