Preheat your oven to 350°F (175°C). Grease a 9-inch round cake pan with butter or non-stick spray, then lightly dust with flour or line with parchment paper.
In a medium bowl, whisk together the all-purpose flour, baking powder, baking soda, ground cinnamon, ground nutmeg, and salt. Set aside.
In a large bowl, cream the softened butter and granulated sugar using an electric mixer or a whisk until light and fluffy.
Beat in the eggs one at a time, fully incorporating each before adding the next. Stir in the vanilla extract.
Add about one-third of the dry flour mixture to the wet ingredients, mixing gently. Pour in half of the apple cider and mix, then repeat ending with the last of the dry ingredients. Mix just until combined.
In a small bowl, mix 1/4 cup granulated sugar with 1 teaspoon ground cinnamon for the topping.
Pour the batter into the prepared cake pan and smooth the top. Sprinkle the cinnamon sugar mixture evenly over the batter.
Bake for 35-40 minutes or until a toothpick inserted into the center comes out clean and the cinnamon sugar topping forms a golden crust.
Allow the cake to cool in the pan for about 15 minutes before transferring it to a cooling rack. Serve warm or at room temperature.