question_answer

48 cm long chord of a circle is at a distance of 7 cm from the centre. Find the radius of the circle.

A) 5cm                

B) 17cm

C) 25cm              

D) None of these

Correct Answer: C

Solution :

\[\angle C={{35}^{o}}\] \[{{x}^{o}}\] \[{{x}^{o}}={{180}^{o}}-{{x}^{o}}\] (\[{{x}^{o}}=\frac{1}{5}(180-x)\] \[\Rightarrow \]) In\[x+\frac{x}{5}={{36}^{o}}\] \[\Rightarrow \]            (By pythagorus theorem) \[={{7}^{2}}+{{24}^{2}}=49+576=625\] \[\Rightarrow \]