Question

find the ratio of the areas of two circles circumscribed and inscribed in an equilateral triangle​

Answer 1

Answer:

1:4

Step-by-step explanation:

Let "s" be the area of the small circle and "b" for the big circle.

Ratio = Area of small circle / Area of big circle = sb

The radius of the big circle is twice the radius of the small circle, so R=2r.

Substituting the radius, Ratio = π∗r2π∗R2 = π∗r2π∗(2r)2 = 14 = 1:4