A community for students.
Here's the question you clicked on:
 0 viewing
shubhamsrg
 3 years ago
If 8 points in a plane are chosen to lie on or inside a circle of diameter 2cm then show
that the distance between some two points will be less than 1cm.
how should i proceed for this?
shubhamsrg
 3 years ago
If 8 points in a plane are chosen to lie on or inside a circle of diameter 2cm then show that the distance between some two points will be less than 1cm. how should i proceed for this?

This Question is Closed

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0will this help ? suppose a pointP at random is chosen at a distance <1 from O taking P as center and constructing a circle of radius 1, shaded reigon is the common region ,,as P gets closer to O,,space in which any other point can lie becomes lesser.. but how do i prove whole cirlce gets shaded after max 7 points ?

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1344942451700:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hmm is there a definition for the points? what if all the eight points are on the circle and spaced closely.

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0well we have to prove there'll be min 2 of those 8 points which will have separation less than 1 cm..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh i read the question wrong, sorry. i will try it again.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Area of the circle must be \(\pi\). Each point could be imagined as a circle of area \(\pi/4\), maybe?

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0i dont get it?? come again..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1344946376091:dw like you see there are maximum 7 points with distance >=1. If I put one more point it's distance with some point will be less than 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Ishaan94 @shubhamsrg

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1344946685043:dw

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0cool.. maybe this is satisfactory enough!! thanks..
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.