The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be
Given : AB = 12 cm and BC = 5 cm
To find : Radius of circle = $$\frac{AC}{2}$$ = ?
Solution : In $$\triangle$$ ABC,
=> $$(AC)^2=(BC)^2+(AB)^2$$
=> $$(AC)^2=(5)^2+(12)^2$$
=> $$(AC)^2=25+144=169$$
=> $$AC=\sqrt{169}=13$$ cm
$$\therefore$$ Radius =Â $$\frac{AC}{2}$$
= $$\frac{13}{2}=6.5$$ cm
=> Ans - (B)
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