Circle inscribed in an equilateral triangle: inradius = side / (2 root 3)
This type of question, asked 4 times: CDS 2 2018, CDS 2 2022, CDS 1 2025, CDS 1 2026. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2018
72A circle is inscribed in an equilateral triangle of side of length . The area of any square inscribed in the circle isTap an option to check your answer.
Question 2
CDS 2 2022
94In an equilateral triangle of side cm, a circle is inscribed touching the sides. What is the area of the remaining portion of the triangle ?Tap an option to check your answer.
Question 3
CDS 1 2025
73A circle is inscribed in an equilateral triangle. The radius of the circle is 2 cm. What is the area of the triangle ?Tap an option to check your answer.
Question 4
CDS 1 2026
71A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : A circle is inscribed in the equilateral triangle . What is the radius of the circle ? Statement-I : Area of is equal to . Statement-II : Perimeter of is 24 cm. Which one of the following is correct in respect of the above Question and the Statements ?Tap an option to check your answer.