P3

Part of 2022 Israel National Olympiad

Problems(1)

Relating two areas in a circle

Source: 2022 Israel National Olympiad P3

w

be a circle of diameter

5

. Four lines were drawn dividing

w

5

"strips", each of width

1

. The strips were colored orange and purple alternatingly, as depicted. Which area is larger: the orange or the purple?

geometrygeometric inequality