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relationship between mathematics and unit circle

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relationship between mathematics and unit circle

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mathematics; Sine, cosine and tangent are the three basic functions in trigonometry. These three basic trigonometric functions enable the examination of the ratios between the sides and angles of a right triangle with one angle of 90°.

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Uniform Circular Motion: angular velocity and centripetal acceleration;Uniform circular motion is a type of motion in which the orbit (path) of a moving object is on a circle and the magnitude of its linear velocity (speed) is constant (linear acceleration is zero).

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relationship between science circle and physics

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relationship between science circle and physics

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Physics-related circles, usage areas and examples in daily life

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Physics-related circles, usage areas and examples in daily life

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EXAMPLE: cogs and wheels: round-shaped objects such as car wheels and bicycle wheels provide rotational motion. The points on the circumference of the wheels move at a constant speed, and this is a characteristic of circular motion.

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In astronomy, planets' orbits are usually described as arcs of circles or ellipses. For example, the orbits of planets in the Solar System are arcs of circles revolving around the Sun according to Newton's law of gravity.

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This is an oil on canvas painting called “Several Circles” by Kandinsky.

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Wassily Kandinsky's “Several Circles” is an abstraite work in which circles of different sizes, colors and positions seem to float in space. Kandinsky uses circles to create a dialogue between geometry and artistic emotion.

1. Calculating the properties of a circle

Take a circle of radius L = 6cm

Calculate :

Perimeter P

Area UN

2. Redo the circles in the table on Geogebra

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In the complex world, we usually draw a lot of circle to find the cosinus and the sinus, and also to find the exponential form of complex number.

Can you find the angle for the number 8.4-6.9i ?

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A magic circle is a circle of space marked out by practitioners of some branches of ritual magic, which they generally believe will contain energy and form a sacred space, or will provide them a form of magical protection, or both.

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Free online apps bundle from GeoGebra: get graphing, geometry, algebra, 3D, statistics, probability, all in one tool!

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Problem:An alpha particle approaches the nucleus of a gold atom and bounces back. This event takes 0.00000000001 seconds. The alpha particle's speed is 2,000,000 m/s, and the distance from the nucleus is 0.0000000000001 meters.Question: What is the speed of the alpha particle?Solution:Speed = Distance / TimeSpeed=0.0000000000001 m0.00000000001 s=10 m/sSpeed= 0.00000000001s0.0000000000001m​ =10m/sAnswer: The alpha particle is moving at 10 m/s when it hits the nucleus.

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Rutherford's Atom Model:In 1911, Ernest Rutherford proposed a new model of the atom based on his gold foil experiment. His model suggested the following:Atom's Structure: The atom consists of a tiny, dense nucleus at the center, which contains protons (positive charge) and neutrons (no charge). The rest of the atom is mostly empty space.Electrons: Electrons (negative charge) orbit the nucleus at a distance, similar to how planets orbit the sun.Gold Foil Experiment: Rutherford fired alpha particles at a thin gold foil. Most passed through, but some were deflected, showing that the nucleus is small, dense, and positively charged.Conclusions: The atom is mostly empty space with a small, dense, positively charged nucleus at the center, which holds most of the atom's mass.Limitations:Rutherford’s model couldn’t explain why electrons don’t spiral into the nucleus, a problem later solved by Bohr’s model.This model laid the foundation for modern atomic theory.

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In astronomy, the motion of planets is often described as following circular or elliptical arcs. For example, in Rutherford's atomic model, proposed by physicist Ernest Rutherford in 1911, electrons are described as moving in circular orbits around the nucleus of an atom, similar to how planets orbit the Sun, according to Newton's law of gravity. In this model, the positively charged nucleus (containing protons) attracts the negatively charged electrons, which are thought to follow circular paths due to the electrostatic force between the protons and electrons. However,

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Free online apps bundle from GeoGebra: get graphing, geometry, algebra, 3D, statistics, probability, all in one tool!

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The Nebra Sky Disc is one of the most significant arhaeological discoveries related to ancient astronomy. It is a bronze disc inlaid with gold symbols discovered in 1999 near Nebra,Germany.

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The atom is closely related to circles and arcs through the representation of electron orbits, which move around the nucleus in circular or elliptical paths. In physics and chemistry, these simplified models help illustrate the structure of the atom and the distribution of electrons in energy levels. Thus, the atom can be visualized using circles for the nucleus and ellipses for the electron orbits, forming a geometric analogy that connects science to real-life shapes.

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https://www.geogebra.org/m/g4dzuxy5

Molecular Models: Understanding Atoms and Molecules

Molecular models are visual representations used to illustrate the structure and geometry of molecules. They help students, researchers, and scientists understand the arrangement of atoms within a molecule, the types of bonds, and molecular shapes. These models are essential in fields like chemistry, biology, and physics.

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The Atomium is a 102-meter-high structure built for the world-class General Exhibition in Brussels in 1958. It represents an iron crystal magnified 165 billion times.

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Find blue area if AB=4!

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DESCRIPTION:
In physics, diameter and circle play a fundamental role in many fields such as circular motion, energy, force and astronomy. While the diameter determines the calendar of an object, the spacing and radius of the circle constitute the basic parameters of physical parameters. These geometric properties are key components of physical programming.

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THE RELATIONSHIP OF PHYSICS WITH DIAMETER AND CIRCLE:

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THE RELATIONSHIP OF PHYSICS WITH DIAMETER AND CIRCLE:

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Mustafa SEVİM

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PHYSICS' RELATIONSHIP WITH CIRCLE AND DIAMETER

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PHYSICS' RELATIONSHIP WITH CIRCLE AND DIAMETER

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DESCRIPTION:In physics, diameter and circle play a fundamental role in many fields such as circular motion, energy, force and astronomy. While the diameter determines the calendar of an object, the spacing and radius of the circle constitute the basic parameters of physical parameters. These geometric properties are key components of physical programming.

Mustafa SEVİM

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Uniform circular motion is a type of motion in which the orbit (path) of a moving object is on a circle and the magnitude of its linear velocity (speed) is constant (linear acceleration is zero).

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Free online apps bundle from GeoGebra: get graphing, geometry, algebra, 3D, statistics, probability, all in one tool!

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1 Turkish lira is a coin belonging to the REPUBLIC OF TURKEY. It was issued on January 1, 2005 and was used as YTL until 2009. It continues to be used as TL from 2009 to the present.

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In physics, diameter and circle appear in many branches, especially astronomy. Diameter and Circle form the basic parameters of physical parameters. These geometric features form the main components of physical programs.

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Takara Tomy Beyblade BURST Ultimate Layer Series B-202 01 Wind Knight Moon Bounce-6 (Prize) - Stamina - Right Spin

Feature: Combing the parts of B-202-02, 03, 04, and 05, Demon Sword Version of Xiphoid Xcalibur Xanthus Sword'-1 can be assembled.

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Takara Tomy Beyblade BURST Ultimate Layer Series B-202 01 Wind Knight Moon Bounce-6 (Prize) - Stamina - Right Spin

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Takara Tomy Beyblade BURST Ultimate Layer Series B-202 01 Wind Knight Moon Bounce-6 (Prize) - Stamina - Right Spin

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The original name of the game, Puck-Man, is derived from the Japanese word "pakku", which means "to eat something thoroughly". When the game entered the United States, its name was changed to Pac-Man because the word Puck, which means "naughty child", was found offensive.

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There are numerous laboratory instruments that use the shape of a circle.

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In the Universe we can observe the circular shape of different elements.

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In the design of everyday objects, science uses the circle on countless occasions. Example: tableware

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The Thomson model, also known as the plum pudding model, was proposed in 1897. According to this model, an atom resembles a sphere of uniformly distributed positive charge in which electrons (negative charges) are embedded like raisins in a pudding.

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While Sevginur D-Etiler is working on Circle in Physics