This problem examines equations defining different circles in the x-y plane. Students must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra worksheet...

Find the center and radius of a circle given the equation in expanded form.

Find the center and radius of a circle given the equation in standard form.

Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.

This Learn Check file is a review of writing conic sections given the graph of a conic section. Students are asked to use the graphs to write the equations for a ellipse, circle, parabola, and hyperbola.

Students will learn about the equation for a circle by using a Study Cards stack. Later, students will attempt to match the graph of a circle from a digital picture, using the form learned previously, and approximating the center and...

Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.

Through illustrated examples and interactive practice, students explore Newton's ability to relate the cause for heavenly motion (the orbit of the moon about the earth) to the cause for Earthly motion (the falling of an apple to the...

Read a short explanation of parametric equations and how they differ from other kinds. Also provides a diagram and a bibliography.

This site, which is provided for by the University of St. Andrews, allows you to zoom in/out and add evolutes, involutes, etc.

This site from Mathworld provides a wealth of information about circles is presented. The information ranges from the basics--radius, circumference, etc.--to advanced concepts--equations in polar and pedal coordinates, etc.

This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.

In Spanish. In this interactive activity you will get a clear understanding of the definition the circumference of a circle and have fun while learning the relationship between equations and figures.

[Free Registration/Login Required] This flipchart is a simple and basic flip chart showing how to find the center and radius of a circle that is in standard form as well as completing the square for equations of circles that are not in...

[Free Registration/Login may be required to access all resource tools.] Using Newton's Law of Gravity and the equations of uniform circular motion, students solve problems involving the force of gravity.

Examples of conic sections are given and the equation for their standard form is also given.

The necessity of gravitation to a circular orbit is discussed and equations for the orbital speed are derived from the law of universal gravitation. Binary systems in which two objects orbit about a center of mass are explained and...

Provides a long list of physics formulas for easy reference.

This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.

[Free Registration/Login may be required to access all resource tools.] This lesson covers changing a general second-degree equation into the standard form of a parabola, ellipse, circle or hyperbola. Students examine guided notes,...

Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.

In the July 2013 issue of United Airlines' Hemisphere Magazine, a pilot responded to a question about how far in the distance he could see at different altitudes. The solution involved right triangles, lines of tangency to a circle, and...

Given descriptions, illustrations, graphs, charts, or equations, students will analyze motion in two dimensions, including projectile and circular motion.

Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...