So ∠ AOC = ∠ BOC = ∠ COD = 60, so ∠ CPB = ∠ APB = 30, so AE = 1/2pa = a/2.

∠ APC = 60, in the right triangle APF, we can get: AF = ∠ 3a/2.

Therefore, AE+AF = (√ 3+ 1) A/2.