Combinatorics | Area | Circles

Dividing a circle into areas

In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem, has a solution by an inductive method. The greatest possible number of regions, rG = (n4) + (n2) + 1, giving the sequence 1, 2, 4, 8, 16, 31, 57, 99, 163, 256, ... (OEIS: ). Though the first five terms match the geometric progression 2n βˆ’ 1, it diverges at n = 6, showing the risk of generalising from only a few observations. (Wikipedia).

Dividing a circle into areas
Video thumbnail

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

Video thumbnail

Area and Perimeter of Geometric Figures

Worked out examples involving area and perimeter.

From playlist Geometry

Video thumbnail

How to memorize the unit circle

πŸ‘‰ 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)

Video thumbnail

Quickly fill in the unit circle by understanding reference angles and quadrants

πŸ‘‰ 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

Video thumbnail

Learn how to construct the unit circle

πŸ‘‰ 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)

Video thumbnail

How to quickly write out the unit circle

πŸ‘‰ 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)

Video thumbnail

What is the unit circle

πŸ‘‰ 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)

Video thumbnail

Determine the point on the unit circle for an angle

πŸ‘‰ 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)

Video thumbnail

Sector and Segment Area in Circles

I work through four examples of finding Sector Area and Segment Area of circles. EXAMPLES at 2:03 6:16 15:23 23:34 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my cha

From playlist Geometry

Video thumbnail

What is the Height of a Cylinder Given the Surface Area and Relationship Between Height and Radius

In this tutorial I explain how to determine the height of a cylinder given its total surface area and a relationship between the height and the radius. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist Random Math Videos

Video thumbnail

Calculus 1: Max-Min Problems (18 of 30) Maximum Area of Square + Circle

Visit http://ilectureonline.com for more math and science lectures! In this video I will findhow long each piece of a 12m wire, L1=? and L2=? to make a square and circle, have to be to have a maximum and minimum total area. Next video in this series can be seen at: https://youtu.be/w7O0n

From playlist CALCULUS 1 CH 8 MAX MIN PROBLEMS

Video thumbnail

Circles - Area, Circumference, Radius & Diameter Explained!

This basic geometry video tutorial explains how to calculate the area and circumference of a circle given it's radius and diameter. This video contains a few examples with word problems. This video also explains how to calculate the circumference given the area, and how to calculate the

From playlist Pre-Algebra Video Playlist

Video thumbnail

In terms of pi-Area, angle, sector and circumference of circles | Revision for Maths GCSE and iGCSE

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt

From playlist GCSE Maths Revision | Geometry and Measures

Video thumbnail

Radians | Revision for maths A-Level and IB

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Study (daily and weekly) planners https://www.prim

From playlist A-Level Maths | Revision Playlist

Video thumbnail

Arc Length of a Circle Formula - Sector Area, Examples, Radians, In Terms of Pi, Trigonometry

This geometry and trigonometry video tutorial explains how to calculate the arc length of a circle using a formula given the angle in radians the and the length of the radius. It also explains how to calculate the sector area in terms of pi or in radians. In addition, it also explains ho

From playlist GED Math Playlist

Video thumbnail

Geometry Final Exam Review - Study Guide

This geometry final exam review contains plenty of multiple choice practice problems as well as some free response questions to help you pass your next test. Here is a list of topics: 1. Right Angles and Angle Addition 2. Segment Addition and Midpoint Theorem 3. Complementary Angles an

From playlist GED Math Playlist

Video thumbnail

Circumference, Area, Volume (Complete Geometry Course Lesson 11)

This is the 11th and final lesson in this complete geometry course by Mario’s Math Tutoring. In this lesson we dive into finding areas, surface areas, volumes and much much more! Join this channel to help support this content: https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

From playlist Geometry Course (Complete Course - Mario's Math Tutoring)

Video thumbnail

Learning to determine the point on the unit circle by sketching the angle

πŸ‘‰ 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)

Video thumbnail

GF Radians

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt

From playlist Summer Start for A-Level Maths

Related pages

Circular arc | Geometric progression | Richard K. Guy | Bernoulli's triangle | Cyclic quadrilateral | Lazy caterer's sequence | Pascal's triangle | Connectivity (graph theory) | Quadrilateral | Planar graph | Euler characteristic | Geometry | Polygon | Sphere | Mathematical induction | Diagonal | John Horton Conway