question_answer

The radius of a circle is 13 cm and AB is a chord which is at a distance of 12 cm from the centre. The length of the chord is?

A) 16 cm              

B) 8 cm

C) 10 cm              

D) 15 cm

Correct Answer: C

Solution :

Length of the chord AB\[=2\sqrt{{{13}^{2}}-{{12}^{2}}}\]                                      \[=2\sqrt{169-144}\]                                      \[=2\times \sqrt{25}\]                                      \[=2\times 5=10\,\,cm\]