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Relating two areas in a circle

Source: 2022 Israel National Olympiad P3

December 16, 2022
geometrygeometric inequality

Problem Statement

Let ww be a circle of diameter 55. Four lines were drawn dividing ww into 55 "strips", each of width 11. The strips were colored orange and purple alternatingly, as depicted. Which area is larger: the orange or the purple?
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