Wire re-bent from one shape into another: find the new side, radius or area
This type of question, asked 6 times: CDS 1 2017, CDS 1 2018, CDS 1 2019, CDS 1 2021, CDS 1 2022, CDS 2 2025. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2017
83A copper wire when bent in the form of a square encloses an area of . If the same wire is bent in the form of a circle, it encloses an area equal toTap an option to check your answer.
Question 2
CDS 1 2018
94A square and an equilateral triangle have the same perimeter. If the diagonal of the square is cm, then what is the area of the triangle ?Tap an option to check your answer.
Question 3
CDS 1 2018
88A wire is in the form of a circle of radius 98 cm. A square is formed out of the wire. What is the length of a side of the square ? (Use )Tap an option to check your answer.
Question 4
CDS 1 2019
43A piece of wire is in the form of a sector of a circle of radius 20 cm, subtending an angle at the centre. If it is bent in the form of a circle, then what will be its radius ?Tap an option to check your answer.
Question 5
CDS 1 2021
74A wire is in the form of a circle of radius 70 cm. If it is bent in the form of a rhombus, then what is its side length? (Take )Tap an option to check your answer.
Question 6
CDS 1 2022
76The diagonal of a square is cm and the area of an equilateral triangle is square cm. Which of the following statements is/are correct? 1. The square and the triangle have the same perimeter. 2. Four times the area of the square is equal to times the area of the triangle. Select the correct answer using the code given below.Tap an option to check your answer.
Question 7
CDS 2 2025
79A wire is in the form of an equilateral triangle with an area of cm. If it is changed into a semicircle, then what is its radius?Tap an option to check your answer.