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How to calculate the diameter of a circle

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How to measure the diameter of a circle if you do not have the tools you need? In fact, it's pretty simple.

To do this, use the method described below.

You will need

• - The object whose diameter is to be calculated.
• - A pencil or a marker.
• - Ruler or ruler.
• - A sheet of paper, cardboard or plywood of regular rectangular shape and of suitable size (see the pic to step 2).

Instructions

1

According to the inscribed triangle theorem fromSchool course of geometry, we know that a rectangular triangle can be inscribed in any circle, as well as describe a circle around a rectangular triangle whose vertices lie on its arc.

2

Using this knowledge, take both subjects: One that has the shape of a circle and a rectangular sheet of paper, cardboard, or other material. Moreover, the angles of a rectangular object should not be rounded, this will allow us to measure quite accurately diameter Circle. The size of a rectangular object should be such that its two opposite sides intersect the circle at two points.

3

According to the same hypotenuse theorem (the side of the triangle opposite to the right angle) of a right-angled triangle is equal to diameterWith the circle circumscribed around it. To do this, take a sheet of cardboard or another rectangular object, and superimpose it on the circle so that the right angle? Its apex A rested against the arc of the circle as in the figure.

4

Mark the points in which the rectangle crosses the circle with a pencil or marker. In the figure, they are marked as points E and F. Connect points E and F by a straight line. This segment of EF is diameter Our circle. Measure it with a simple ruler or tape measure. The diameter of the circle is calculated.

How to calculate the diameter of a circle Was last modified: June 21st, 2017 By
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