A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be

A tangent to a circle is perpendicular to the radius at the point of contact, creating a right triangle with the line from the external point to the centre. Using the Pythagorean theorem, the tangent length squared equals 10 squared minus 6 squared. This yields 100 - 36 = 64, and taking the square root gives a tangent length of 8 cm.

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