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A math finale of the senior high school entrance examination ~ ~ Please! !
1. From the known ∠ ACB = 90, ∴ AB = AC/SIN 30 = 13 * 2 = 26 in the right triangle ACB.

MN=AB-2-2=22

2. Make DF⊥AB at the intersection D, because ∠ DAB = ∠ B = 30, ∴AD=DB, AF=FB, AD=26√3/3.

3. Connect OE, and extend DF to O. In the right triangle OED, ∠ OED = 90, ∠ ADF = 60, so the radius is solved by an equation group composed of two right triangles.