Register

CAT 1999 | Question: 68

• edited by
2,545 views
0 0 votes

The figure below shows two concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?

  1. $\frac{\pi}{4}$
  2. $\frac{3\pi}{2}$
  3. $\frac{\pi}{2}$
  4. ${\pi}$

1 Answer

Best answer
1 1 vote

inner circle perimeter 2⊼x

then length of PQ is 2x

perimeter of PQRS =4x

then SQ= √((2x)^2 +(2x)^2) =2√2x

SO =√2x

perimeter of outer circle = 2 ⊼ (√2x ) =2√2 ⊼ x

perimeter of ABCD=√2x *4 =4√2x

ratio of perimeter of outer circle : perimeter of ABCD = ⊼ / 2

Ans C)

• edited by
Voting & Accepting an answer helps improve the community
← Previous · CAT 1999 | Question:...Next → · CAT 1999 | Question:...
← Previous in category · CAT 1999 | Question:...Next in category → · CAT 1999 | Question:...
Position:
Show:

Related questions

0 0 votes
1 1 answer
2.3k
2.3k views
go_editor asked May 16, 2016
2,305 views
CAT 1999 | Question: 165
The question is followed by two statements I and II.Markif the question can be answered by any one of the statements alone, but cannot be answered by using the other stat...
0 0 votes
1 1 answer
2.5k
2.5k views
go_editor asked May 16, 2016
2,529 views
CAT 1999 | Question: 162
The question is followed by two statements I and II.Markif the question can be answered by any one of the statements alone, but cannot be answered by using the other stat...
0 0 votes
1 1 answer
2.0k
2.0k views
go_editor asked May 16, 2016
2,036 views
CAT 1999 | Question: 159
The question is followed by two statements I and II.Markif the question can be answered by any one of the statements alone, but cannot be answered by using the other stat...
0 0 votes
1 1 answer
2.0k
2.0k views
go_editor asked May 16, 2016
2,044 views
CAT 1999 | Question: 158
The question is followed by two statements I and II.Markif the question can be answered by any one of the statements alone, but cannot be answered by using the other stat...
0 0 votes
1 answers 1 answer
2.4k
2.4k views
go_editor asked May 16, 2016
2,413 views
CAT 1999 | Question: 157
The question is followed by two statements I and II.Markif the question can be answered by any one of the statements alone, but cannot be answered by using the other stat...