Largest square in a circle or largest circle in a square: areas
This type of question, asked 4 times: CDS 1 2018, CDS 1 2019, CDS 1 2020, CDS 2 2025. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2018
91What is the area of the largest circular disc cut from a square of side units ?Tap an option to check your answer.
Question 2
CDS 1 2019
52A square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of area of circle to that of square ?Tap an option to check your answer.
Question 3
CDS 1 2020
86What is the area of the largest square plate cut from a circular disk of radius one unit ?Tap an option to check your answer.
Question 4
CDS 2 2025
80Let the area of the largest possible square inscribed in a circle of unit radius be . Let the area of the largest possible circle inscribed in a square of unit side length be . What is the relation between and ?Tap an option to check your answer.