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Hint: Here, we will discuss the definition of pai and the value of pai. Pai value is applied for various purposes and it is used in finding various important values in mathematics. Pai is represented as \[\pi \].
Complete step-by-step answer:
The number \[\pi \] is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to \[3.14159\]. It is also referred to as Archimedes' constant. Being an irrational number, π cannot be expressed as a common fraction, although fractions such as \[\dfrac{{22}}{7}\] are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern.
The ratio \[\dfrac{C}{d}\] is constant, regardless of the circle's size. \[\pi \] appears in formulae for areas and volumes of geometrical shapes based on circles, such as ellipses, spheres, cones. It is known that π is a transcendental number, it is not the root of any polynomial with rational coefficients. In basic mathematics, Pi is used to find the area and circumference of a circle. Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few. Using pi, we can measure things like ocean waves, light waves, sound waves, river bends, radioactive particle distribution and probability like the distribution of pennies, the grid of nails and mountains by using a series of circles. We can measure trigonometric values too.
Note: Some examples of daily uses of Pi include Electrical engineers used pi to solve problems for electrical applications. Statisticians use pi to track population dynamics, Medicine benefits from pi when studying the structure of the eye. Biochemists see pi when trying to understand the structure/function of DNA. Physicists looking into the behavior of fluid ripples see pi and use it in their calculations, Clock designers use pi when designing pendulums for clocks. Pi Day is an annual celebration of the mathematical constant \[\pi \] . Pi Day is observed on March \[14\] since \[3,1,\] and \[4\] are the first three significant digits of \[\pi \] .
Complete step-by-step answer:
The number \[\pi \] is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to \[3.14159\]. It is also referred to as Archimedes' constant. Being an irrational number, π cannot be expressed as a common fraction, although fractions such as \[\dfrac{{22}}{7}\] are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern.
The ratio \[\dfrac{C}{d}\] is constant, regardless of the circle's size. \[\pi \] appears in formulae for areas and volumes of geometrical shapes based on circles, such as ellipses, spheres, cones. It is known that π is a transcendental number, it is not the root of any polynomial with rational coefficients. In basic mathematics, Pi is used to find the area and circumference of a circle. Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few. Using pi, we can measure things like ocean waves, light waves, sound waves, river bends, radioactive particle distribution and probability like the distribution of pennies, the grid of nails and mountains by using a series of circles. We can measure trigonometric values too.
Note: Some examples of daily uses of Pi include Electrical engineers used pi to solve problems for electrical applications. Statisticians use pi to track population dynamics, Medicine benefits from pi when studying the structure of the eye. Biochemists see pi when trying to understand the structure/function of DNA. Physicists looking into the behavior of fluid ripples see pi and use it in their calculations, Clock designers use pi when designing pendulums for clocks. Pi Day is an annual celebration of the mathematical constant \[\pi \] . Pi Day is observed on March \[14\] since \[3,1,\] and \[4\] are the first three significant digits of \[\pi \] .
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