Interested to Buy Any Domain ? << Click Here >> for more details...
A, B and C are three points on a straight line, not
necessarily equidistant with B being between A and C. Three
semicircles are drawn on the same side of the line with AB,
BC and AC as the diameters. BD is perpendicular to the line
ABC, and D lies on the semicircle AC.
If the funny shaped diagram between the three semicircles
has an area of 1000 square cms, find the length of BD.
- 1 Answers
- 7064 Views
- I also Faced
- E-Mail Answers
Answer / guest
The length of BD is 35.68 cms
There are 3 right-angled triangles - ABD, CBD and ADC.
From ABD, AB^2 + BD^2 = AD^2 ------ I
From CBD, CB^2 + BD^2 = CD^2 ------ II
From ADC, AD^2 + CD^2 = AC^2 ------ III
Adding I and II,
AB^2 + BC^2 + 2*BD^2 = AD^2 + CD^2 ------ IV
FROM III and IV
AB^2 + BC^2 + 2*BD^2 = AC^2
AB^2 + BC^2 + 2*BD^2 = (AB+CB)^2
2*BD^2 = 2*AB*CB
BD^2 = AB*CB
BD = SQRT(AB*CB)
Given that funny shaped diagram beween three semicircles has
an area of 1000 square cms.
[PI/2 * (AC/2)^2] - [PI/2 * (AB/2)^2] - [PI/2 * (BC/2)^2] =
1000
PI/8 * [AC^2 - AB^2 - BC^2] = 1000
PI * [(AB+BC)^2 - AB^2 - BC^2] = 8000
PI * [2*AB*BC] = 8000
AB * BC = 4000/PI
Hence BD = SQRT(4000/PI) = 35.68 cms
where PI = 3.141592654
Hence, the length of BD is 35.68 cms.
| Is This Answer Correct ? | 0 Yes | 2 No |
If A * [(B + C)(D - E) - F(G*H) ] / J = 10 What number is ABCDEFGHJ where each letter is a digit?
The ratio of Boys to Girls is 6:4. 60% of the boys and 40% of the girls take lunch in the canteen. What % of class takes lunch in canteen?
Gomzi has 3 timepieces in his house - a wall clock, an alarm clock and a wristwatch. The wristwatch is always accurate, whereas the wall clock gains 2 minutes everyday and the alarm clock loses 2 minutes everyday. At exactly midnight last night, all three watches were showing the same time. If today is 25 July 2003, then on which date all three clocks will show the same time again?
Hi Friends, Myself shiwani i had 11 years gap in my study and rite now i am 26 years,i enrolled myself in b.com and rite now i am in my second year and also pursuing CS(company secretary)and doing job in accounts department drawing 25000/-p.m,after completing my graduation and some level of cs module,would like to apply in mnc,would it matter to them that i had 11 years gap in study,kindly please help,me worried alot.
A man was looking at a portrait. Someone asked him, "Whose picture are you looking at?" He replied, pointing at the portrait: "Brothers and sisters have I none, but this man's son is my father's son." Now whose picture is the man looking at?
Take 5 Zero's and perform any mathematical opretion on them to make ans 120. (can't use any number)
16 Answers CitiGroup, FIITJEE, MAHINDRA,
Can u pl send me the model question paper or previous 5 year question paper for South Indian Bank's clericl post.Pl do send it to my mailId:nan_april4@yahoo.co.in
A_basket_has_six_eggs_in_it_Six_people_come_along_and_each_tak es_an_egg_but_there_is_still_one_egg_left_in_the_basket?how?
Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5. How many such 3-digit numbers are there?
condition: there is a room in which you r sitting in middle.and infront of you there is two persons and two doors.behind 1 door there is success and behind another door there is failure,but you don't know behind which door success is.out of above 2 person one always speak truth and other always lie and you also don't know who speak true and who speak lie. question: you have to select success door by asking only one question....so what only one question you ask to get sucess door? note:you are not supposed to ask two question 1 with each person
5+3+2=151012 9+2+4=183662 8+6+3=482466 5+4+5=202504 7+2+5=?
Imagine a triangle of coins on a table so that the first row has one coin in it and the second row has two coins in it and so on. If you can only move one coin at a time, how many moves does it take to make the triangle point the other way?
English 
