1.

The perimeter of a square is equal to the circumference of a circle. What is the ratio between the side of the square and the radius of the circle? 1). √π : 12). 1 : √π3). 2 : π 4). π : 2

Answer»

The perimeter of a square = 4(SIDE)

The CIRCUMFERENCE of a circle =2 π r

According to the GIVEN information:

⇒ 4(side)= 2 π r

$(\begin{array}{l} \Rightarrow \FRAC{{{\rm{Side\;}}}}{{\rm{r}}} = \frac{{2\pi }}{4}\\ \Rightarrow \frac{{{\rm{Side\;}}}}{{\rm{r}}} = \frac{\pi }{2}\end{array})$

Hence, the RATIO between the side of the square and the radius of the circle is π :2


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