in Quantitative Aptitude
996 views
0 votes
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. ${\pi}$
in Quantitative Aptitude
13.4k points
996 views

1 Answer

1 vote
1 vote
Best answer

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
by
5.1k points

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true