question_answer

AB is a chord of length 24 cm of a circle with centre O and radius 13 cm. Find the distance of the chord from the centre.

A) 5cm                

B) 6cm

C)  \[\angle ABD\]                        

D) None of these

Correct Answer: A

Solution :

AB = 24cm and \[{{90}^{o}}\] So, AM = MB =12 cm, OA = 13 cm (given). In\[l||m,\] \[{{130}^{o}}\]        (By pythagorus theorem)        \[{{50}^{o}}\] \[{{120}^{o}}\]    \[\angle A={{80}^{o}}\]