Geometry Answers

The radius of the Earth increases by 1 m, how will the length of the Earth’s equator increase?

The radius of a circle changes by 1 mm, how will the length of the circle change?

How many diagonals the n-gon has?

Can a closed polyline have sides the lengths of which are 1, 2, 3, 4 and 11 meters?

Two circles are given. Their radiuses are R1 and R2. The distance between their centers is d1 (d1>R1+R2). What is the minimal and maximal distance between points X and Y which belong to these circles?

Where the points are located, if for these points x=0 and y=0?

The planes a and b are parallel to the plane c. Can planes a and b intersect?

Straight lines a and b are given. These lines don’t belong to the same plane. Can we draw a straight line, which is parallel to each of these lines?

Three points belong to the same straight line. Can we build a plane, which contains these three points? Explain your answer.

There are four points, which don’t belong to the same plane. Can any three of these points belong to the same straight line? Explain your answer.