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11 months ago

eight points are in/on the circle of radius 10cm. show that distance between some two points is less than 1cm.

Physics

1 answer:

noname [10]11 months ago

6 0

Here we have shown that the distance between some two points is less than 1cm, in the circle of radius of 10 cm.

considering the points be p₁,p₂,…,p₈, now placing the point p8 at the center of the circle and the other seven points on the circle's periphery, at equal distances. we can see we have seven points in the periphery and one single point in the center. after joining the seven points, we get a heptagon having its side equal in length. The length of the side of the heptagon is less than 2π/7, which is almost less than 1 cm. if we replace the position of any points come up with a pair of points that are apart from each from a length that is less than 1 cm

To know more about circle refer to the link brainly.com/question/11833983?referrer=searchResults.

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