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

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

Elden Ring Premiere

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