Let D be the region between the circles of radius 6 and radius 8 centered at the origin that lies in the third quadrant.

Express D in polar coordinates.

Select the correct answer below:

1)$D=\{(r,\theta )\mid 6\le r\le 8,0\le \theta \le \frac{\pi}{2}\}$

2)$D=\left\{\begin{array}{cc}r& \theta \end{array}\right)\mid 6\le r\le 8,\pi \le \theta \le \frac{3\pi}{2}\}$

3)$D=\{(r,\theta )\mid 0\le r\le 8,\pi \le \theta \le \frac{3\pi}{2}\}$

4)$D=\{(r,\theta )\mid 6\le r\le 8,\pi \le \theta \le 2\pi \}$

Express D in polar coordinates.

Select the correct answer below:

1)

2)

3)

4)