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If the length of a tangent from a point $A$ at a distance of 26 cm from the centre of the circle is 10 cm, then the radius of the circle is

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23 cm

24 cm

21 cm

22 cm

answer is B.

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Detailed Solution

d = 26 cm

$l = 10 cm$

$r = ?$

$d^{2} = l^{2} + r^{2}$

$26^{2} = 10^{2} + r^{2}$

$r^{2} = 676 - 100$

$r = 24 cm$

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