Question 64

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

Solution

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 = $$\frac{AC}{2}$$

= $$\frac{13}{2}=6.5$$ cm

=> Ans - (B)

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