It is known that in ⊙ o, n is the midpoint of the chord AB, on intersects the arc AB in M, if AB = 2, radical 3, Mn = 1, the radius of ⊙ o is obtained
Let the radius of ⊙ o be r to connect OA and ob
∵ OA = ob = R, n is the midpoint of ab
Ψ an = AB / 2 = 2 √ 3 / 2 = √ 3, on ⊥ AB (vertical diameter chord)
∴OA²-ON²=AN²
∵MN=1
∴ON=OM-MN=R-1
∴R²-(R-1)²=3
∴R=2
The radius of ⊙ o is 2
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