At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
will 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 ?
hmm is there a definition for the points? what if all the eight points are on the circle and spaced closely.
well we have to prove there'll be min 2 of those 8 points which will have separation less than 1 cm..
oh i read the question wrong, sorry. i will try it again.
Area of the circle must be \(\pi\). Each point could be imagined as a circle of area \(\pi/4\), maybe?
i dont get it?? come again..
|dw: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
cool.. maybe this is satisfactory enough!! thanks..