Geometrymedium · Past Paper

The length of a tangent from a point P at distance 13 cm from the center of a circle is 12 cm. What is the radius?

A5 cm
B7 cm
C10 cm
D25 cm

✓ Correct Answer: A5 cm

r^2 = distance^2 - tangent^2 = 13^2 - 12^2 = 169 - 144 = 25. r = 5 cm.

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