Circles | Conic sections | Pi | Elementary shapes
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. Usually, the radius is required to be a positive number. A circle with (a single point) is a degenerate case. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted. Specifically, a circle is a simple closed curve that divides the plane into two regions: an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is only the boundary and the whole figure is called a disc. A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal; or the two-dimensional shape enclosing the most area per unit perimeter squared, using calculus of variations. (Wikipedia).
The Circle (1 of 2: Starting with a verbal definition)
More resources available at www.misterwootube.com
From playlist Functions & Other Graphs
Circles and Solids: Radius, Diameter, and Naming Solids
This video explains how to determine the radius and diameter of a circle. Various solids are also named.
From playlist Circles
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
👉 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)
How to memorize the unit circle
👉 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)
What is the equation for a circle
Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of the circle and the center of the circle is called th
From playlist Circles
What is a central angle of a circle
Learn the essential definitions of the parts of a circle. A secant line to a circle is a line that crosses exactly two points on the circle while a tangent line to a circle is a line that touches exactly one point on the circle. A chord is a line that has its two endpoints on the circle.
From playlist Essential Definitions for Circles #Circles
The man who loved circles (Objectivity): https://youtu.be/AzmUCL1OHhs More links & stuff in full description below ↓↓↓ Pappus chains, circle inversion and a whole lot more in this EPIC video with Simon Pampena. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Websit
From playlist Numberphile Videos
Steiner's Porism: proving a cool animation #SoME1
Strange circle stuff. (Some people have commented that the audio is really low. Unfortunately I haven't found a way to fix it without re-uploading the whole video, but your feedback will be taken on board for the next video! Also to everyone begging for more content, I’m currently in the m
From playlist Summer of Math Exposition Youtube Videos
Coding Challenge #50.1: Animated Circle Packing - Part 1
In this multi-part coding challenge, I demonstrate how to use a circle packing algorithm. Code: https://thecodingtrain.com/challenges/50-animated-circle-packing p5.js Web Editor Sketches: 🕹️ Animated Circle Packing - Text: https://editor.p5js.org/codingtrain/sketches/wxGRAd4I- 🕹️ Animated
From playlist Coding Challenges
9.8: Random Circles with No Overlap - p5.js Tutorial
This video demonstrates a "circle packing"-like algorithm. Circles are placed randomly in the canvas, but only if they are not overlapping with any previous circles. This is referred to as "uniform random sampling." The p5.js dist() function is demonstrated. Source-code: https://github.
From playlist 9: Additional Topics - p5.js Tutorial
Circles (Complete Geometry Course Lesson 10)
This is the tenth lesson in the Mario's Math Tutoring's Complete Geometry Course here on YouTube! In this video we take a deep dive into circles discussing formulas related to central angles, inscribed angles, arc measures, chord lengths, secant lengths, tangent lengths, and more! Join th
From playlist Geometry Course (Complete Course - Mario's Math Tutoring)
How to Draw Tangent Circles using Cones
Solving the Problem of Apollonius with Conic Sections This video describes a non-standard way of finding tangent circles to a given set of 3 circles, known as the Problem of Apollonius. It uses conic sections rather than straightedge and compass. I feel this approach is more intuitive and
From playlist Summer of Math Exposition Youtube Videos
What is a power of a point? or a radical axis? and how are they useful?
Here we explain what is a power of a point, a radical axis and a radical center and we show a problem where we use all three to get to the solution and yes, this is my SoME2 submission. Please subscribe: https://www.youtube.com/channel/UCs9k80C32DtCNMBC5aMoHkQ
From playlist Summer of Math Exposition 2 videos
This geometry video tutorial provides a basic introduction into circle theorems. It contains plenty of examples and practice problems. Here is a list of topics: 1. If a radius is perpendicular to a chord, it bisects the chord into two congruent segments. The point of contact is the mid
From playlist Geometry Video Playlist
Coding Math: Episode 53 - Random Circle Packing
A quick, fun video on a technique known as circle packing. Or at least one take on the technique. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath Source for this episode: http://jsbin.com/fegeti/edit?js,output Mario: https://www.flickr.
From playlist Episodes
Determining where a point is on the unit circle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)