Wolfram Research
Wolfram Math World: Circle
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.
Homeschool Math
Homeschool Math: Circles
Lesson presents definitions of terms associated with circles and helps young scholars learn to use a compass to draw circles and simple circle designs.
Ducksters
Ducksters: Kids Math: Circle Geometry
Circle Geometry math for kids contains information for students to learn about terms radius, diameter, circumference, chord, and pi.
Illustrative Mathematics
Illustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle
In this task, students are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.
Mangahigh
Mangahigh: Shape: Radius and Tangent Rule for Circles
Determine the rules for radius and tangents of circles.
Texas Instruments
Texas Instruments: Math Today Coming Clean About Showering Time
In this activity using the USA TODAY Snapshot, "Coming clean about showering time," students will find the measures of central angles and arcs of a circle. They will use circumference, radius, concentric circles and degrees in a circle...
CK-12 Foundation
Ck 12: Geometry: Chords in Circles
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply chord theorems. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Physics Aviary
Physics Aviary: Circular Friction Test Track
This lab is designed to have students find the relationships that affect the maximum speed a car can go around a turn. Students will be able to modify the tires, road surface, the mass of the car, radius of the turn and the initial speed...
Khan Academy
Khan Academy: Points Inside/outside/on a Circle
Given the center and radius of a circle, determine if a point is inside of the circle, on the circle, or outside of the circle. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing an Equilateral Triangle in a Circle
Suppose we are given a circle of radius r. The goal of this task is to construct an equilateral triangle whose three vertices lie on the circle. Aligns with G-CO.D.13.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Explaining the Equation for a Circle
This problem examines equations defining different circles in the x-y plane. Young scholars must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra...
Texas Instruments
Texas Instruments: Going in Circles Inscribed Angles
This lesson has students discover properties of inscribed angles in a circle. Students use the Geometer's Sketchpad application for the TI-89 to construct a circle and an inscribed angle.
Physics Aviary
Physics Aviary: Circular Acceleration
This program gives students a visual representation of why an object moving in a circle at constant speed is accelerating. This program will guide students through a method of calculating the circular acceleration based on the change in...
CK-12 Foundation
Ck 12: Geometry: Chords in Circles
[Free Registration/Login may be required to access all resource tools.] This concept teaches students four theorems about chords and how to apply them. Students examine guided notes, review guided practice, watch instructional videos and...
Texas Instruments
Texas Instruments: Relationship of Angles to the Circle
In this activity, students recognize the relationship of angles to circles. They study the Inscribed Angle Theorem and its corollaries.
Texas Instruments
Texas Instruments: Circumscribing a Circle About a Triangle
In this activity, students use the distance of the circumcenter of a triangle to each vertex of the triangle as the radius and draw a circle using the circumcenter as the center.
Mangahigh
Mangahigh: Shape: Isosceles Triangles Inside Circles
Determine isosceles triangles inside a circle made from chords and radii.
Physics Aviary
Physics Aviary: Circular Force Lab
This lab is designed to have students find the relationships that affect the force required to keep an object moving in a circle. Students will be able to modify the mass of the object, the speed of the object and the size of the circle...
Physics Aviary
Physics Aviary: Classic Circular Force Lab
This lab is designed to examine the relationships between the force, mass, and radius of an object moving in a circular path and the velocity it must maintain to stay in that circular path. This lab is an idealized version of the string...
Illustrative Mathematics
Illustrative Mathematics: G C Right Triangles Inscribed in Circles I
This task provides a good opportunity to use isosceles triangles and their properties to show an interesting and important result about triangles inscribed in a circle with one side of the triangle a diameter. The fact that these...
Illustrative Mathematics
Illustrative Mathematics: G C Right Triangles Inscribed in Circles Ii
In this task, students analyze the characteristics of a right triangle that has two sides labeled with midpoints and show that the triangle is inscribed in a circle with a diameter the length of its hypotenuse. Aligns with G-C.A.2.
Khan Academy
Khan Academy: Features of a Circle From Its Expanded Equation
Find the center and radius of a circle given the equation in expanded form.
Khan Academy
Khan Academy: Features of a Circle From Its Standard Equation
Find the center and radius of a circle given the equation in standard form.
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