PT is a tangent to a circle with centre O and radius 6 cm.

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PT is a tangent to a circle with centre O and radius 6 cm. If PT is 8 cm then length of OP is

1. 10 cm.
2. 12 cm.
3. 16 cm.
4. 9 cm.

Correct Option: A

As per the given in question , we draw a figure of circle with centre O and PT is a tangent

Given that , OT = 6 cm. , TP = 8 cm.
∠OTP = 90°
In ∆ OPT,
OP = √OT² + TP² = √6² + 8²
OP = √36 + 64 = 100 = 10 cm.