Answer:
The correct answer is first option 60%
Explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
To find the area of equilateral triangle
Here side be 'a'
Area of equilateral = √3a²/4
To find the area of circle
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
To find the probability
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%