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What ancient Greek mathematician came up with an approximate value for pi by circumscribing and inscribing circles in and around regular polygons?
Archimedes (287-212 BC) was the first to estimate π rigorously. He realized that its magnitude can be bounded from below and above by inscribing circles in regular polygons and calculating the outer and inner polygons' respective perimeters. By using the equivalent of 96-sided polygons, he proved that 310/71< π < 31/7. The average of these values is about 3.14185.
What famous ancient Greek mathematician came up with an approximate value for Pi by circumscribing and inscribing circles in and around a regular polygon?
umm im noot 100% sure but i am pretty sure its pythagoras or euclid
Why was Archimedes the first mathematician to use the symbol PI?
Archimedes is often credited with being the first mathematician to systematically use the symbol π (pi) to represent the ratio of a circle's circumference to its diameter, although he did not use the symbol itself as we know it today. He provided a method for calculating pi through inscribing and circumscribing polygons around a circle, which allowed him to approximate its value more accurately. The actual symbol π was later adopted by Welsh mathematician William Jones in 1706, but Archimedes' work laid the foundation for its significance in mathematics. His contributions greatly advanced the understanding of geometry and the properties of circles.
Who is mathematician who contributed areas related to circles?
One mathematician who made significant contributions to areas related to circles is Archimedes. He is known for his discovery of the relationship between the circumference and diameter of a circle, which is now known as π (pi). Archimedes also developed methods to approximate the area enclosed by a circle using polygons, a technique now known as the method of exhaustion.
Are circles and ovals polygons?
no straight sides
Are polygons the same things as shapes?
yes. polygons are closed shapes with no curves. i.e. circles are not polygons, squares are, triangles are, ect
Are all circles regular polygons?
A circle is not a polygon, so no.
Which figures are always similar in geometry?
Circles and all regular polygons.
Why are circles not polygons?
a polygon has all closed sides and no curved sides
Which property do the circles polygons have in common?
They are closed 2-dimensional shapes.
A diagram included five hexagons eleven circles six decagons nine squares and eleven lines How many polygons are in the diagram?
There are 20.5 + 6 + 9 = 20 (Neither circles nor unclosed linear shapes are polygons.)
What shapes have no right angels and no equal sides?
Circles, some triangles, and irregular polygons
