# Task 7.1

A sheet of paper has the shape of a circle. Is it possible to draw five segments on it, each connecting two points on the boundary of the sheet, such that among the parts into which these segments divide the sheet, there is a pentagon and two quadrilaterals?

## Number of points 7  Answer:

## possible

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# Solution

For example, see the figure. Two quadrilaterals and a pentagon are shaded gray.

![](https://cdn.mathpix.com/cropped/2024_05_06_daa24a2024b4bcb39a05g-1.jpg?height=291&width=286&top_left_y=2119&top_left_x=197)

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