In an equilateral triangle the ratio of circum-radius and in-radius is

Options

A. `3:1`
B. `1:1`
C. `2:sqrt3`
D. `2:1`

Explanation

To find the ratio of the circumradius (R) and inradius (r) of an equilateral triangle, we can follow these steps:

### Step 1: Understand the definitions
- The circumradius (R) of a triangle is the radius of the circumcircle that passes through all three vertices of the triangle.
- The inradius (r) of a triangle is the radius of the incircle that is tangent to all three sides of the triangle.

### Step 2: Formula for circumradius (R)
For an equilateral triangle with side length \( A \), the circumradius \( R \) can be calculated using the formula:
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