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A triangle was cut out of a square which was originally cut out of a circle.if the diameter of circle was 4cms, the area of triangle is at the most?
Read Solution (Total 13)
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- (1/2)*2*4 = 4
height will be radius of circle
base will be diam - 10 years agoHelpfull: Yes(26) No(8)
- 4
area of circle = 4 pi
from Pythagoras. 2.x^2=(4^2)=16
so x = sqrt(8)
so triangle area = .5 *sqrt(8)*sqrt(8)=4 - 10 years agoHelpfull: Yes(13) No(3)
- Firstly, Consider a Circle
Now Draw a square. Since All angles are 90. Therefore, diagonal must be passing through the center.(Circle Property)
Here, we can get the side of square as 2 root 2.
Now, Since Triangle is taken out from this square. It will give the maximum area when we divide the square in two halves.
Therefore, area of triangle is 4(Maximum) - 10 years agoHelpfull: Yes(11) No(0)
- As diameter of circle is 4cm.so this will be the diagonal length of square.
now,Area of square = 1/2*(diagonal)^2 =1/2*(4)^2 = 8 cm^2.
since,any square consists of 2 large triangle of equal area.
so Area of square= 2*Area of triangle
so,Area of triangle=4 cm^2. - 10 years agoHelpfull: Yes(4) No(0)
- is it 154
- 10 years agoHelpfull: Yes(1) No(12)
- 1/2*4*2 because we asume base is a diameter
- 10 years agoHelpfull: Yes(0) No(3)
- it must be 4 because the largest traingle possible is as base diameter and height as radius so .5*4*2=4 cmsq
- 10 years agoHelpfull: Yes(0) No(1)
- diagonal of square = 4, side of square= s = 4/sqrt(2)
area of largest triangle = 1/2*s*s = 0.5*4*4/2 = 4 - 10 years agoHelpfull: Yes(0) No(1)
- it is said...at most...so why not 2*(1/2)*2*4 ?? 8 shud be the answer i guess...
- 10 years agoHelpfull: Yes(0) No(3)
- ans=4 sq cms
- 10 years agoHelpfull: Yes(0) No(0)
- 4 will be the answer !!!
- 10 years agoHelpfull: Yes(0) No(0)
- Ans=4
Given diameter=4cms
by we considering the diameter as diagonal for a square,we have two trangles,
so now area of triangle=1/2bh=1/2(4*2)=4
here base is diameter of circle or diagonal of square i.e.,4 cms - 9 years agoHelpfull: Yes(0) No(0)
- b(1/2)*2*4 = 4
height will be radius of circle
base will be diam
Read more at http://www.m4maths.com/frequently-asked-placement-questions.php?SOURCE=TCS#24gKQYGVs5c8hx2s.99 - 9 years agoHelpfull: Yes(0) No(0)
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