The area and radius of a circle are never infinite, so is pi finite?

Updated on science 2024-08-05
15 answers
  1. Anonymous users2024-02-15

    No. The calculation of pi does not rely only on the area and radius to regress, but in the current situation it is impossible to exhaust its value, so it is infinite.

  2. Anonymous users2024-02-14

    The decimal places of pi are infinite. The magnitude of pi does not depend on the size of the area of the circle, but pi is a constant constant, but the constant is an irrational number. The size of pi is finite, except that the decimal places are infinite.

  3. Anonymous users2024-02-13

    The area and radius of a circle are never infinite, and so is pi, but this range has never been able to be calculated.

  4. Anonymous users2024-02-12

    Pi is definitely infinite, because it has not been proven to have a finite number of digits, although the area and radius of the circle are finite, but we can only get a relative value, and the exact value cannot be obtained.

  5. Anonymous users2024-02-11

    The area and radius of the circle are never infinite, and the pi is infinite according to the current level of calculation, and there is no end.

  6. Anonymous users2024-02-10

    Because the only ratio of the circumference of a circle to its diameter is 6+2 3:3, pi is limited.

    Pi is the earliest in China's Western Han Dynasty writer Liu Xin based on the known area of seven squares, first introduced: "the circumference of the circle 6 + 2 3 to the diameter of the ratio of 3", and then according to this ratio to calculate the ratio is that the ratio of the circumference to the diameter of the circle is 6 + 2 3).

    The rest of the ratios are not the ratio of the circumference of the circle to the diameter, but the ratio of the perimeter of a regular 6x2 polygon to the diagonal line that crosses the center point. Since n is infinite, because of the roll, this is infinite.

  7. Anonymous users2024-02-09

    The meaning expressed by these two formulas is the same.

    Because: the area of the circle.

    When deriving the formula, the circle is divided into 16, 32, 64 parts..., and then put together an approximate rectangle, the length of the rectangular sock is a good circumference.

    The width of the rectangle is the radius of the circle, so:

    Area of a circle = area of a rectangle.

    Half of the circumference of the circle x radius.

    And because: half the length of the circumferential posture = pi.

    x radius. So: Circle area = pi x radius squared.

  8. Anonymous users2024-02-08

    Because as long as the straight line through the center of the circle intersects the circumference, that is to say, the string, it is the diameter of the circle. There are countless such strings.

    A circle is made up of all points at an equal distance from the center of the circle. So there are countless dots on the circle. These infinite points and the segments connected to the center of the circle are the radius of the circle, so the circle has an infinite number of radii.

    Diameter: Two opposing radii make up a diameter, because there are infinite radii, and all have an infinite number of diameters.

    The nature of the circle. A circle is an axisymmetric figure, and its axis of symmetry is any straight line that passes through the center of the circle. A circle is also a center-symmetrical figure, and its center of symmetry is the center of the circle.

    Perpendicular diameter theorem: Bisect the string perpendicular to the diameter of the string, and bisect the 2 arcs of the chord opposite.

    The inverse theorem of the perpendicular diameter theorem: the diameter of the bisector chord (not the diameter) is perpendicular to the chord, and the 2 arcs of the bisector chord are opposed.

    Properties and theorems about circumferential and central angles.

    In the same circle or equal circle, if one set of quantities in two central angles, two circumferential angles, two sets of arcs, two strings, and two chord center distances are equal, then the rest of the groups of quantities corresponding to them are equal.

    In an identical or equal circle, the circumferential angle of an equal arc is equal to half of the central angle of the circle to which it is opposite (the circumferential angle is on the same side as the central angle of the chord).

  9. Anonymous users2024-02-07

    There are countless rays through the center of the circle, and the intersection of these rays with the circle and the line segment formed by the center of the circle is the radius, so the circle has an infinite number of radii.

    There are countless straight lines through the center of the circle, and the line segments formed by the two intersection points of these lines and the circle are the diameters, so the circle has an infinite number of diameters.

  10. Anonymous users2024-02-06

    Because angles are represented by numbers, angles can be infinitely subdivided just like numbers, so circles have countless diameters and radii of different angles.

  11. Anonymous users2024-02-05

    Do you know that real numbers are dense, which means that there must be real numbers between any two real numbers?

    Then, the angle between two radii or two diameters is a real number, so there must be a radius or diameter angle between two radii or two diameters that is smaller.

    Then there are an infinite number of radii and diameters.

  12. Anonymous users2024-02-04

    Definition of a circle: A set of all points with a distance to a fixed point equal to a fixed length (only on a plane).

    So an infinite number of points correspond to an infinite number of radii and diameters.

  13. Anonymous users2024-02-03

    The jog becomes a line, and the line moves into a surface. The trajectory of a point moving in one direction becomes a line. The trajectory of the circle is formed by moving the trajectory at the beginning of the line as the center of the circle.

    A figure consisting of all points on a plane whose distance to a fixed point is equal to a fixed length is called a circle. The fixed point is called the center of the circle, and the fixed length is called the radius.

  14. Anonymous users2024-02-02

    Why don't you ask why the sun is round.

  15. Anonymous users2024-02-01

    Radius: Because the radius is the line segment that connects a point on the land of the circle with the center of the circle. A circle is made up of all points at an equal distance from the center of the circle. So there are countless dots on the circle. These infinite points and the blind cover line segments connected to the center of the circle are the radius of the circle, so the circle has an infinite number of radii.

    Diameter: Two opposing radii form a single diameter, because there are infinite radii, all of which have an infinite number of diameters.

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