A polar circle is a geographic term for a conditional circular line (arc) referring either to the Arctic Circle or the Antarctic Circle. These are two of the keynote circles of latitude (parallels). On Earth, the Arctic Circle is currently drifting northwards at a speed of about 14.5 m per year and is now at a mean latitude (i.e. without taking into account the astronomical nutation) of 66°33′49.3″ N; the Antarctic Circle is currently drifting southwards at a speed of about 14.5 m per year and is now at a mean latitude (i.e. without taking into account the astronomical nutation) of 66°33′49.3″ S. Polar circles are often equated with polar regions of Earth. Due to their inherent climate environment, the bulk of the Arctic Circle, much of which is sea, is sparsely settled whereas this applies to all of Antarctica which is mainly land and sheltered ice shelves. If Earth had no atmosphere then both polar circles (arcs) would see at least a day a year when the center of the sun is continuously above the horizon and at least a day a year when it is always below the horizon – a polar day and a polar night as is the case for longer, within the circles. Up to and including the associated poles (North and South), known geographically as the frigid zones such duration extends up to half of the year, namely, close to the poles. Instead, atmospheric refraction and the Sun's light reaching the planet as an extended object rather than a point source means that just within each circle the Earth's surface does not experience any proper polar night, 24 hours where the sun does not rise. By these same two factors, just outward of each circle still experiences a polar day (a day in which the sun does not fully set). The latitude of the polar circles is + or −90 degrees (which refers to the North and South Pole, respectively) minus the axial tilt (that is, of the Earth's axis of daily rotation relative to the ecliptic, the plane of the Earth's orbit). This predominant, average tilt of the Earth varies slightly, a phenomenon described as nutation. Therefore, the latitudes noted above are calculated by averaging values of tilt observed over many years. The axial tilt also exhibits long-term variations as described in the reference article (a difference of 1 second of arc (″) in the tilt is equivalent to a change of about 31 metres north or south in the positions of the polar circles on the Earth's surface). * The north polar circle on a polar projection. * The polar circle as lines on a modified cylindrical projection. (Wikipedia).
Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane
From playlist THE "WHAT IS" PLAYLIST
Calculus 2 Lecture 10.5: Calculus of Polar Equations
Calculus 2 Lecture 10.5: Calculus of Polar Equations. Area Bound by Polar Curve, Area Between Two Polar Curves.
From playlist Calculus 2 (Full Length Videos)
Polar Coordinates and Graphing Polar Equations
Everything we have done on the coordinate plane so far has been using rectangular coordinates. That's the x and y we are used to. But that's not the only coordinate system. We can also use polar coordinates, which graph points in terms of a radius, or distance from a pole, and theta, the a
From playlist Mathematics (All Of It)
Quickly fill in the unit circle by understanding reference angles and quadrants
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0
From playlist Trigonometric Functions and The Unit Circle
Calculus 10.3 Polar Coordinates
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Ex: Find the Polar Equation of a Circle With Center at the Origin
This video explains how to determine the equation of a circle in rectangular form and polar form from the graph of a circle centered at the origin. Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com
From playlist Polar Coordinates and Equations
Introduction to Polar Coordinates
This video introduces polar coordinates http://mathispower4u.wordpress.com/
From playlist Polar Coordinates and Equations
Math 023 Fall 2022 120522 Polar Coordinates
Definition of polar coordinates. Examples: what points are these? Going from polar to Cartesian coordinates; going from Cartesian to polar coordinates. Distance formula (using the Law of Cosines!). Application: equations of circles. Examples: going from equations in polar coordinates
From playlist Course 1: Precalculus (Fall 2022)
Graphing Polar Equations | Lines, Circles, Cardioids, and Limacons | Precalculus
Here is my explanation of how to graph common polar equations such as lines, circles, cardioids, and limacons. I will talk about roses in a future video. Here are my notes: https://drive.google.com/file/d/1_5TyX92Ubd4-4gK-A1aCh9EEC8oC0TJS/view?usp=sharing Comment below with any questions
From playlist Precalculus
Polar coordinates (KristaKingMath)
► My Polar & Parametric course: https://www.kristakingmath.com/polar-and-parametric-course Polar coordinates are an important in modeling circles, spheres, cylinders, and other figures. This introduction to polar coordinates teaches you the difference between cartesian coordinates and pol
From playlist Polar & Parametric
MATH2018 Lecture 4.2 Polar Coordinates
Polar coordinates allow us to simplify double integrals in cases when there is some sort of rotational symmetry in the problem.
From playlist MATH2018 Engineering Mathematics 2D
How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39)
How to convert equations from Rectangular form to Polar form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
3.4 Polar Coordinates - The Nature of Code
It’s finally time to dive into the trigonometric functions—sine, cosine, tangent—and take a close look at thinking in polar coordinates with p5.js! https://thecodingtrain.com/learning/nature-of-code/3.4-polar-coordinates.html p5.js Web Editor Sketches: 🕹️ Basic Polar Coordinates: https://
From playlist The Nature of Code 2
How to Graph Basic Polar Equations (Precalculus - Trigonometry 41)
An introduction to graphing Polar Equations by converting them into Rectangular Equations and graphing them as conic sections or basic functions in the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
Duality: magic in simple geometry #SoME2
Two inaccuracies: 2:33 explains the first property (2:16), not the second one (2:24) Narration at 5:52 should be "intersections of GREEN and orange lines" Time stamps: 0:00 — Intro 0:47 — Polar transform 4:46 — Desargues's Theorem 6:29 — Pappus's Theorem 7:18 — Sylvester-Gallai Theorem 8
From playlist Summer of Math Exposition 2 videos
Math 032 Multivariable Calculus 15 102714: Polar Integration
First version of change of variables: area integrals using polar coordinates.
From playlist Course 4: Multivariable Calculus (Fall 2014)
Animation: Comparing Polar and Rectangular Coordinates
This animation compares points plotted using polar and rectangular coordinates. http://mathispower4u.wordpress.com/
From playlist Polar Equations
Solutions to Problem #91 - Polarized Sky Light - Rayleigh Scattering
Why is it Sky Light Polarized and in Where to Look?
From playlist Solutions to Bi-weekly Physics Problems