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# Two Paths

##### Age 14 to 16 Short Challenge Level: In the diagram, AE is divided into four equal parts.

Semicircles have been drawn with AE,
AD and DE as diameters.

This has created two new paths from A to E, an upper path and a lower path.

Which path is shorter?

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.