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Math2
Math2: Circles
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
Illustrative Mathematics
Illustrative Mathematics: G C Orbiting Satellite
A satellite is orbiting the Earth at a given height and young scholars are asked to find the distance it travels to complete 70 percent of an orbit. This task provides a context for connecting an angle in radians to the arc length...
Lawrence Hall of Science
The Math Page: Trigonometry: Radian Measure
Here is a site that clearly and thoroughly explains the radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems.
Sophia Learning
Sophia: Components of Circular Motion
A video lesson that introduces the components of circular motion. Understand that any objects that rotates around a point is in circular motion. Video also explores how to measure how far an object has rotated. Video gives equation for...
Johan Claeys
Math Abundance: The Circle: Basic Concepts
Goes over the equation of a circle, parametric equations of a circle, intersection of circle and line, tangent line in a point of a circle, etc.
Mangahigh
Mangahigh: Shape: Circumference of a Circle
Determine the circumference of a circle or simple arc lengths.
Texas Instruments
Texas Instruments: Applications of Integrals
Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...
Cuemath
Cuemath: Circles
Explore everything about circles. Learn various parts of a circle like a diameter, radius, circumference, circles chord, tangent circles, major arc, segment, sector, and discover other interesting aspects of it. Try your hand at solving...
Illustrative Mathematics
Illustrative Mathematics: F Tf.1 What Exactly Is a Radian?
For this task, students use a piece of string or another tool to measure the radius of the circle and then mark off the corresponding arc length on the unit circle as many times as they need to for 0, 1, 2, 3, 4, 5, and 6 radians. They...
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...
University of Maryland
Thinking Problems in Oscillations and Waves: Pendulum
A series of thought-intensive, multichoice questions concerning pendulums and provided for by the University of Maryland. A downloadable software program on pendulums is also included.
Pennsylvania State University
Acoustics and Vibration Animations: Demonstrations: The Simple Pendulum
A series of graphics, downloadable animations and text describe and explain the motion of a pendulum. Some sections require an understanding of calculus.
Texas Education Agency
Texas Gateway: Circular Motion & Gravitation: Rotation Angle & Angular Velocity
By the end of this section, you will be able to define arc length, rotation angle, radius of curvature, and angular velocity; and to calculate the angular velocity of a car wheel spin.
University of Cambridge
University of Cambridge: Maths and Sports: Track Design
You are designing and marking out the running track for a new Olympic stadium. Where should the staggered starting positions be marked for the 200m and 400m events? This activity is aimed at Key Stage 4 students (age 14-16).
Other
Old Dominion University: Calculus Animations W Mathcad
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
Texas Education Agency
Texas Gateway: Ap Physics: Uniform Circular Motion and Gravitation: Glossary
This is a glossary of terms and definitions used in Chapter 6: Uniform Circular Motion and Gravitation from the AP Physics online text.
Lawrence Hall of Science
The Math Page: Trigonometry
Concepts in Trigonometry are explained and illustrated here by a member of the math department at Borough of Manhattan Community College.
OpenStax
Open Stax: Rotation Angle and Angular Velocity
In the following interactive students will begin to define arc length, rotation angle, radius of curvature and angular velocity. They will also calculate the angular velocity of a car wheel spin.
Khan Academy
Khan Academy: Challenge Problems: Inscribed Shapes
Solve three challenging problems that apply properties of inscribed shapes to find an arc length or a missing angle.