CAT Exam > CAT Questions > A square of side 1 is taken. It is circumscri...
Start Learning for Free
A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square?
Most Upvoted Answer
A square of side 1 is taken. It is circumscribed by a circle. The circ...
Problem: Find the side of the largest square obtained after repeating the process of circumscribing a square and then a circle 5 times.
Solution:
To solve this problem, we can use the concept of inscribed and circumscribed circles.
Step 1: Find the diameter of the inscribed circle of the first square.
The diameter of the inscribed circle of a square is equal to the side of the square. Therefore, the diameter of the inscribed circle of the first square is 1.
Step 2: Find the diameter of the circumscribed circle of the first square.
The diameter of the circumscribed circle of a square is equal to the diagonal of the square. Therefore, the diagonal of the first square is √2. Thus, the diameter of the circumscribed circle of the first square is √2.
Step 3: Find the side of the second square.
The side of the second square is equal to the diameter of the inscribed circle of the first square. Therefore, the side of the second square is 1.
Step 4: Find the side of the third square.
The side of the third square is equal to the diameter of the inscribed circle of the second square. Therefore, the side of the third square is also 1.
Step 5: Find the side of the fourth square.
The side of the fourth square is equal to the diameter of the inscribed circle of the third square. Therefore, the side of the fourth square is also 1.
Step 6: Find the side of the fifth square.
The side of the fifth square is equal to the diameter of the inscribed circle of the fourth square. Therefore, the side of the fifth square is also 1.
Thus, the side of the largest square obtained after repeating the process of circumscribing a square and then a circle 5 times is 1.
Solution:
To solve this problem, we can use the concept of inscribed and circumscribed circles.
Step 1: Find the diameter of the inscribed circle of the first square.
The diameter of the inscribed circle of a square is equal to the side of the square. Therefore, the diameter of the inscribed circle of the first square is 1.
Step 2: Find the diameter of the circumscribed circle of the first square.
The diameter of the circumscribed circle of a square is equal to the diagonal of the square. Therefore, the diagonal of the first square is √2. Thus, the diameter of the circumscribed circle of the first square is √2.
Step 3: Find the side of the second square.
The side of the second square is equal to the diameter of the inscribed circle of the first square. Therefore, the side of the second square is 1.
Step 4: Find the side of the third square.
The side of the third square is equal to the diameter of the inscribed circle of the second square. Therefore, the side of the third square is also 1.
Step 5: Find the side of the fourth square.
The side of the fourth square is equal to the diameter of the inscribed circle of the third square. Therefore, the side of the fourth square is also 1.
Step 6: Find the side of the fifth square.
The side of the fifth square is equal to the diameter of the inscribed circle of the fourth square. Therefore, the side of the fifth square is also 1.
Thus, the side of the largest square obtained after repeating the process of circumscribing a square and then a circle 5 times is 1.
Community Answer
A square of side 1 is taken. It is circumscribed by a circle. The circ...
4
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square?
Question Description
A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square?.
A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square?.
Solutions for A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? defined & explained in the simplest way possible. Besides giving the explanation of
A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square?, a detailed solution for A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? has been provided alongside types of A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? theory, EduRev gives you an
ample number of questions to practice A square of side 1 is taken. It is circumscribed by a circle. The circle in turn is circumscribed by another square. This process is repeated till there are 5 squares. What is the side of the largest square? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup