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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 |
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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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