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geometry doubt
by aman mishra - Monday, 5 May 2008, 07:00 PM
  dear tg
          please solve these

  • In rectangle ABCD, points E and F are on BC and AB, respectively, such that areas of triangles AFD, FBE, and ECD are all equal to 1. What is the area of triangle FDE?
  • Four points A, B, C, and D lie on a straight line in the X-Y plane, such that AB = BC = CD, and the length of AB is 1 metre. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. The ant would not go within one metre of any insect repellent. The minimum distance in metres the ant must traverse to reach the sugar particle is?
  • Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq. cm of the portion that is common to the two circles is?
Re: geometry doubt
by Little Star - Monday, 5 May 2008, 10:48 PM
ans for 2nd is=1+pi 

Little  ST ar                                                                        
Re: geometry doubt
by Prateek Agarwal - Monday, 5 May 2008, 11:17 PM

img1Ans for 3rd.


Area of sector abd = 90/360 * pi *1^2 = pi/4

Area of Triangle ABD = 1/2*1*1 = 1/2

Area of common part of circles is 2*( pi/4- 1/2)

required area = area of square - area of common part

1- (pi/2-1) = 2-pi/2

Re: geometry doubt
by ASWATHY S - Friday, 14 August 2015, 05:56 PM
  Isn't the part common to the circles 2*(pi/4 -1/2) ?