Question

find the ratio of areas of an equilateral triangle with side"a" and its incircle ​

Answer 1

Ok. So area of triangle is

$a ^{2} \sqrt{3} \div 4$

Incircle radius is the height / 2

$r= (\sqrt{3} \div 4) \times a$

So apply the area for circle formula

$\pi {r}^{2}$

And take ratio.

Answer is 1/pi