Gayatri is standing at point Q facing the market. Which place will she be facing if she turns $225^\circ$ anti-clockwise?

1. Determine the angle between adjacent points on the 8-point compass

The compass has 8 points, so the angle between each adjacent point is:
$360^\circ \div 8 = 45^\circ$

2. Calculate the number of intervals to turn

Number of $45^\circ$ intervals in $225^\circ$:
$225^\circ \div 45^\circ = 5 \text{ intervals}$

3. Determine the final direction by counting intervals anti-clockwise

Starting from the market (North-West), turning 5 intervals anti-clockwise:

1. West
2. South-West
3. South
4. South-East
5. East

The place at East is the swimming pool.