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1
Position rack in top third of oven and preheat to 425F.
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2
Spray 8-inch-diameter cake pan with 3-inch-high sides with nonstick spray.
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3
Peel, quarter and core apples; place in bowl and set aside.
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4
Combine sugar and 6 tablespoons water in heavy medium saucepan.
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5
Stir over medium heat until sugar dissolves, occasionally brushing down sides of pan with wet pastry brush.
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6
Increase heat and boil without stirring until syrup is deep amber, occasionally brushing down sides of pan with wet pastry brush and swirling pan, about 10 minutes.
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7
Remove pan from heat.
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8
Add butter (caramel will bubble vigorously); stir to blend.
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9
Pour caramel into prepared pan.
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10
Let cool 5 minutes.
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11
Working carefully, stand apples on end in concentric circles in pan, crowding together as much as possible.
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12
Cut any remaining apple quarters into thin wedges; insert into empty spaces.
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13
Place pan directly over medium heat and bring caramel to simmer, about 2 minutes.
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14
Place pan in oven; bake until apples are tender and caramel bubbles thickly, occasionally pressing apples lightly with spatula to compact, about 1 1/2 hours.
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15
Meanwhile, unfold pastry sheet on work surface.
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16
Using 9-inch tart pan bottom as aid, cut out 9-inch round; pierce all over with fork.
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17
Chill until ready to use.
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18
Remove pan from oven.
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19
Top apples with pastry; tuck in edges.
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20
Return to oven; bake until pastry is golden, about 20 minutes.
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21
Transfer pan to rack.
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22
Cool tart completely in pan, about 3 hours.
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23
Place platter atop pan.
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24
Hold platter and pan and invert; tart will fall out onto platter.
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25
Cut into wedges and serve.