Math Tutorial 15.6 - Circle Graphs

There are 5 lessons in this math tutorial covering Circle Graphs. The tutorial starts with an introduction to Circle Graphs and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Circle Graphs. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

What is a circle?
What are the main elements of a circle?
What is the equation of a circle?
What is the equation of a circle when expressed as a polynomial?
How to prove whether a second-degree polynomial with two variables represents a circle or not without plotting the graph?
How to express circles in the coordinates system?
How to find the coordinates of the centre of a circle when its equation is given?
The same for the radius of a circle.
How to find the equation of a circle from a graph?
How to find the intercepts of a circle with the axes?
What are tangent and intersecting circles with an axis? What is a circle is neither tangent nor intersecting? How to find this without plotting the graph?
How to find the equation of the horizontal and vertical diameter of a circle?

Introduction

Take a pencil and tie it with a string. On the other end of the string tie a nail and stick the nail on the ground. Then, grasp the pencil and make a line on the ground as far as possible. What do you see? What kind of figure is that?

In this tutorial, we will discuss circles, not from the geometrical viewpoint but rather, from the algebraic one instead. More specifically, we will see how to identify the coordinates of any point in the circle given the equation. Therefore, it is very important to know the equation of a circle in order to be able to identify all points required.

Please select a specific "Circle Graphs" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Types of Graphs Learning Material
Tutorial ID	Math Tutorial Title	Revision Notes	Revision Questions
15.6	Circle Graphs
Lesson ID	Math Lesson Title	Lesson	Video Lesson
15.6.1	Geometry Background
15.6.2	Equation of a Circle
15.6.3	Equation of a Circle when it is expressed as a Polynomial
15.6.4	Finding the Equation of a Circle when a Graph is Provided
15.6.5	What Else We Can Find Using the Equation of a Circle?

Whats next?

Enjoy the "Circle Graphs" math tutorial? People who liked the "Circle Graphs" tutorial found the following resources useful:

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Types of Graphs Revision Notes: Circle Graphs. Print the notes so you can revise the key points covered in the math tutorial for Circle Graphs
Types of Graphs Practice Questions: Circle Graphs. Test and improve your knowledge of Circle Graphs with example questins and answers
Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
Continuing learning types of graphs - read our next math tutorial: Transforming Graphs

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