Heat oven to 350^. Using non stick spray-spray an 8-inch round or square pan ,then trace around bottom of pan onto a piece of wax paper. Cut out the shape and place in bottom of pan-now spray paper. Set aside.
In a large mixer bowl , combine sugar, butter, oil, carrot juice, eggs, and fresh ginger until combined.
Add 1 cup of the flour; blend well. To the 1/2 cup of flour add the baking powder,ground ginger, baking soda and salt,Stir just until smooth.
By hand stir in the carrots. Pour mixture into prepared pan. Bake for 40 minutes or until toothpick test done..Do not overbake. Let cake cool in pan on rack for about 10 minutes; then loosen edges and turn out onto rack. Turn right side up and let cool conpletely.
Make a glaze:
In a small bowl , stir together
3/4 cup powdered sugar
Zest of 1/2 a lime or orange
1 or 2 Tbls. lime or orange juice --enough to make a thick flowing frosting and drizzle over cooled cake.