In a , . The ratio of the radius of the circumcircle to that of the incircle is
Explanation for the correct option:
Step 1: Find the semi-perimeter and area of triangle
It is given that in a , .
Let us assume that the common ratio is .
Thus, , and .
If is the semi-perimeter of the triangle, then .
Therefore, the area of the triangle is .
Step 2: Find the ratio of the radii of circumcircle and incircle
The radius of the circumcircle can be given by, .
The radius of the incircle can be given by, .
Thus, the ratio, .
Therefore, the ratio of the radius of the circumcircle to that of the incircle is .
Hence, the correct option is (C).