Neer

• Jun 2nd, 2005

 

nO

Shashi

• Aug 22nd, 2005

 

yes it can,  
______________ 
| 
|6cm 
______|______| ______|______ 
 
6 6 6 6 cm

Vinay Kumar

• Oct 26th, 2005

 

how it came.

Danny John

• Jan 27th, 2006

 

No it cannot because

If you assume the rectangle widthwise it would not fit. so the other option is lengthwise still 3cm is not very small when compared to 12cm so it will still leak out.

Rupesh

• Feb 15th, 2006

 

Area of rectangle = 12*6 = 72 unitsArea of the semi-circle = pi*12*12/2 = 226 unitsarea of rectangle < area of semi-circleThe answer is yes. In fact, the semi-circle can even accomodate a square of length = 12 units

venu

• Apr 30th, 2006

 

yes it can ..its the radius not diameter.. so think its easier to insert 12x3

sidhu3

• May 30th, 2006

 

Yes.If you imagine placing the bigger side(12 cm) of rectangle along the diameter of semicircleThe distance from center of semicircle to any point on its circumeference is radius(12 cm).So the distance of edges of rectangle from center are disagnol of triangle6 * square_toot of (2) = 1.732 * 8 = 10.4 which is less than radius (12)

aish

• Jul 18th, 2006

 

circumference of semicircle is37.88cm,perimeter of rect is 2(l+b)

                                                                                         2(12+6)

                                                                                         36cm

so it can

PRASHANTH

• Aug 20th, 2006

 

Single word answer is yes.let us place the rectangle at the centre of the semi circle,the lenth of the rectangle wont create any problem as dia is 24 cm.as per as height of the rectangle is concerned we can apply" pythagorous theorem "which locates the other edge of the rectangle at sq rt(72)which will certainly come under the boundary.

ramya

• Mar 23rd, 2007

 

Assume the rectangle is placed at the centre of diameter of circle.The length of the rectanle (12cm) fits in the diameter(24cm).The length from the centre of the circle to  any point on the circumference is radius(12cm).the length from centre of circle(the centre of rectangle) to the edge of rectanle on the circle is 6cm.Using phythogarous theorem  with these datas,we arrive at the length from circle base to the circumference as approx.10.So the breadth of rectangle also fits into the circle.

pavankumartn

• Apr 2nd, 2007

 

yes it can be placed as
we can place a rectangle 12cm length on the radius of the circle
from the centre of radius 6cm both side to centre.
so at the end of rectanle side. the length on diameter of circle is 6cm from the edge of circle.
so a side of 6 cm can be placed.
hence it can be placed..

Jonny B

• May 9th, 2007

 

using a simple drawing technique it can be shown that the rectagle would leak out no matter which way it was placed in

if the long side of the rectangle was placed along the flat side of the semicircle, the corners at the ends facing the semicircle's curve would leak

if the short side of the rectangle was placed along the curve of the semicircle, most of it would fit in, but still, the corners at the end of the rectangle on the curved end would leak out
                      

jonny b

• May 10th, 2007

 

I was envisioning that the diameter was 12cm
with a radius of 12cm it fits

shreekanthss

 Profile Answers by shreekanthss 

• Feb 1st, 2009

 

Yes
Circumference of semicircle=2*12*3.14/2=37.68
Perimeter of rectangle=12+6+12+6=36
and the area of the semi circle is 3.14*12*12/2=226
Area of the rectangle=12*6=72sqcm
so the rectangle will fit in the semi-circle

chaninpoh

 Profile Answers by chaninpoh 

• Jun 16th, 2010

 

yes. Of course. The area of the semi circle is 226.22cm2 and the area of the rectangle is only 72 cm2 . Why not?

rockingvivek

 Profile Answers by rockingvivek 

• Feb 25th, 2011

 

Yescos@=1/2@=60'so max breadth =sin60*12>6