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The tangent from a point Q to a circle is 24 cm long and Q is 25 cm from the centre. What is the radius?

Class 10Tangent Lengths and IncirclesGeometry

A7 cm
B49 cm
C12.5 cm
D1 cm

Step-by-Step Solution

r^{2} = 2 5^{2} - 2 4^{2} = 625 - 576 = 49

, so

r = 7

cm. 1 cm comes from 25 − 24; 49 forgets the square root.

Answer: A) 7 cm

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