Question

ABC is an equilateral triangle. A circle is formed inside the triangle touching all the sides. Inside the circle, another equilateral triangle is formed. Within the smaller triangle, one more circle is formed touching all the sides of the smaller triangle. Ratio of the area of the bigger circle to that of the smaller circle is ​

Answer 1

Radius of bigger circle = r units

Area = Πr²

Radius of smaller circle = r/2 units

Area = Π(r/2)²

Ratio of their areas = Πr² / Π(r/2)² = 4:1