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1
Cut out a round from parchment paper to fit just inside a 12-inch heavy skillet (3 inches deep), then set round aside.
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2
Cut peel, including all white pith, from oranges with a sharp paring knife.
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3
Working over a bowl, cut segments free from membranes, letting segments fall into bowl, then squeeze 1/2 cup juice from membranes into another bowl (discard membranes).
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4
Chop orange segments and reserve.
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5
Cut a 1-inch-thick diagonal slice from a carrot and set aside, then roll carrot away from you 90 degrees and cut another 1-inch-thick diagonal slice.
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6
(Shape will resemble a trapezoidal log.
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7
If carrots are very thick, cut slices in half lengthwise as well).
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8
Cut up rest of carrot in same manner, then repeat with remaining carrots.
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9
Heat oil in skillet over moderate heat until hot but not smoking, then add cumin seeds and cook, stirring, until fragrant, about 1 minute.
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10
Add carrots, water, orange juice, lemon juice, sugar, salt, and pepper.
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11
Cover carrots directly with parchment round and simmer, stirring occasionally, 30 minutes.
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12
Remove parchment, then continue to simmer, stirring occasionally, until most of liquid is evaporated and carrots are tender and glazed, about 20 minutes more.
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13
Serve warm or at room temperature, sprinkled with chopped orange.