Question

Find: i) the ratio of the diagonal of a square to its perimeter.
ii) The ratio of area of a circle to its circumference
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Answer 1

Answer:

i) the ratio of the diagonal of a square to its perimeter is $1:2\sqrt{2}$

ii) the ratio of area of a circle to its circle to its circumference is r:2

Step-by-step explanation:

i) the diagonal of a square is given by $a\sqrt{2}$

the perimeter of a square is 4a

the ratio of diagonal to its perimeter is

$\frac{a\sqrt{2} }{4a} }$

$\frac{1}{2\sqrt{2} }$

the ratio is, $1:2\sqrt{2}$

ii) area of a circle is $\pi r^{2}$

the circumference of a circle is $2\pi r$

the ratio of area to its circumference is,

$\frac{\pi r^{2} }{2\pi r}$

$\frac{r}{2}$

the ratio is, r:2