Question

Write the following ratios in the reduced form.
(i) Radius to the diameter of a circle.
(ii) The ratio of diagonal to the length of a rectangle, having length $4cm$ and breadth $3cm.$
(iii) The ratio of perimeter to area of a square, having side $4cm.$

Answer 1

Part $\left(i\right)$

Let the radius of the circle be $r$.

The diameter of the circle $=2r$

According to the question,

$=\frac{r}{2r}$

$=\frac{1}{2}$

Part $\left(ii\right)$

The length of the rectangle $=4cm$

The breadth of the rectangle $=3cm$

So, the diagonal of the rectangle will be

$=\sqrt{3^2+4^2}$

$=\sqrt{25}=5cm$

According to the question,

$=\frac{5}{4}$

Part $\left(iii\right)$

The side of the square $4cm$

So, the perimeter of the square will be

$=4\times side$

$=4\times 4=16cm$

And the area of the square will be

$=sid{e}^2$

$=4^2=16cm$

According to the question,

$=\frac{16}{16}=1$

Hence, this is the answer.