The length of the tangent drawn from a point 10 cm away from the centre of a circle with radius 4 cm is:

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Given:
- Distance from point to center (OP) = 10 cm
- Radius of circle (r) = 4 cm

We need to find the length of the tangent from the point to the circle.

Let the length of the tangent be PT.

By the property of tangents to a circle from an external point:  
OP² = OT² + PT²  
Where OT is the radius (4 cm).

So,  
PT² = OP² - OT²  
PT² = 10² - 4²  
PT² = 100 - 16 = 84

Therefore,
PT = √84 = √(4 × 21) = 2√21 cm.

Hence, the length of the tangent is 2√21 cm.

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