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A chord of length 10 cm subtends an angle 120° at the centre of a circle . Distance of the chord from the centre is
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- 5√3 cm.
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5√3 cm. 2 -
5 cm. √3 - 5 cm.
Correct Option: C
As per the given in question , we draw a figure of a circle with centre A, 
Given , BC = 10 cm
AD ⊥ BC
∴ BD = DC = 5 cm
∠BAC = 120°
∠BAD = 60°
∠ABD = 30°
∴ In ∆ ABD,
| tan30° = | |
| BD |
| ⇒ | = | ||
| √3 | 5 |
| ⇒ AD = | cm. | |
| √3 |
