Question

The probability of a point within an equilateral triangle with side 1- unit lying outside its
in-circle (inscribed circle) is

Answer 1

Find the area of the incircle by calculating it's radius using the formula r=area of the triangle/semi perimeter of the triangle=10/15 in this case.
Then find the ratio of the areas of the circle and the remaining part of the triangle and then apply probability rule.