Explanation:

- The problem relates to comparing the area of a circle with the area of a triangle.

- Let "r" be the radius of the circle. The area of the circle is pr².

- The given condition is that the product of the triangle’s base (b) and height (h) is 5/14 of the square of the circle's radius (r²). So, bh = 5/14 * r².

- The area of the triangle is (1/2) * b * h = (1/2) * (5/14 * r²).

- Simplifying the triangle's area gives 5/28 * r².

- Now, calculate the ratio of the area of the circle to the triangle: (pr²) / (5/28 * r²).

- Simplify this ratio: (28p / 5).

- This can be approximated to 88/5.

- Option 2 (88 : 5) is correct.