Square or equilateral triangle inscribed in a circle: side in terms of radius
This type of question, asked 3 times: CDS 2 2016, CDS 1 2022, CDS 1 2023. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
42If a square of side and an equilateral triangle of side are inscribed in a circle, then what is the ratio of to ?Tap an option to check your answer.
Question 2
CDS 1 2022
82An equilateral triangle of side is inscribed in a circle of radius . Which one of the following is correct?Tap an option to check your answer.
Question 3
CDS 1 2023
65Let x be the area of a square inscribed in a circle of radius r and y be the area of an equilateral triangle inscribed in the same circle. Which one of the following is correct ?Tap an option to check your answer.