Geometry Answers

What is the sign of the point’s coordinates, if this point locates in the first (second, third, fourth) quarter?

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.