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If a circle of unit radius is divided into two parts by an arc of another circle subtending an angle 60° on the circumference of the first circle, then the length of the chord is

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√3

√2

answer is A.

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Detailed Solution

OA= 1
∠ACB=60°
∠AOD=∠BOD
∠AOB=2∠ACB
=2X60°
∠AOB=120°
∠AOD=1 X∠AOB
2
=60°
Now in ΔAOD
Sin60°=𝐴𝐷
𝑂𝐴
√3 X1=AD ⇒ AD= √3
2 2
AB=2XAD= 2X √3
2
AB=√3

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