question_answer

The circumference of a circle is 100 cm. What is the largest side of a square inscribed in the circle?

A)  \[AB\times DL=BC\times DM\]                     

B)  \[18\times DL=12\times 10\]

C)  \[DL=\frac{12\times 10}{18}=\frac{20}{3}=6\frac{2}{3}cm,\]              

D)  \[=2\pi \times 42=84\pi cm.\]

Correct Answer: B

Solution :

Let r be the radius of the circle in centimeter. Then its circumference \[{{42}^{o}}\] \[13.2{{m}^{2}}\] diameter \[14.2{{m}^{2}}\] The length of the largest diagonal of the square = diameter of the circle \[13.4{{m}^{2}}\] \[14.4{{m}^{2}}\]Side of square \[\frac{30}{\pi }\] diagonal \[60\pi \]