PT is a tangent to a circle whose centre is O, and where T is a point on the circle. If PT = 12 cm and PO = 13 cm, then find the radius of the circle. 

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. 4 cm
  2. 6 cm
  3. 4.5 cm
  4. 5 cm

Answer (Detailed Solution Below)

Option 4 : 5 cm
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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Given:

PT is tangent to a circle whose center is O, and where T is a point on the circle.

PT = 12 cm and PO = 13 cm

Concept used:

The radius = √(PO2 - PT2)

Calculation: 

F1 Savira SSC 18-9-24 D2

The radius (r) = √(PO2 - PT2)

⇒ r = √(132 - 122

⇒ r = √(169 - 144

⇒ r = √25 = 5 cm

∴ The correct option is 4

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