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nika2105 [10]
3 years ago
13

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 co

unter-clockwise direction, then the coordinates of the point where the ant stops will be

Mathematics
2 answers:
weeeeeb [17]3 years ago
6 0
I could be wrong but I think it's (1,2Π3-1)
bezimeni [28]3 years ago
5 0

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)

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