Position rack in center of oven and preheat to 350 degrees. Spray 9″ diameter cake pan with nonstick spray.Line bottom of pan with parchment paper.
Finely grind almonds in processor. Transfer to medium bowl. Whisk in the flour, baking powder, and salt. Using and electric mixer, beat butter until fluffy. Add sugar and beat until well blended. Add eggs one at a time, beating well after each addition. Beat in vanilla and almond extract, then flour mixture just until blended. Do not overbeat batter.
Transfer batter to prepared pan. Spread evenly and smooth the top. Gently press plum slices, flesh side down, into batter in a spoke pattern around outer rim and center of cake, placing close together. Sprinkle top with cinnamon.
Bake cake until tester inserted into center comes out clean, about 50 minutes. Cool cake in pan on rack 20 minutes. Run small knife between cake and pan sides to loosen. Invert cake onto platter; remove parchment paper. Place another platter atop cake and firmly invert cake onto top platter, plum side up. Cool cake completely. Nice served with whipped cream.
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