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Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
101 Questions
Suitcase Circle
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
101 Questions
Rotonda West, FL
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Illustrative Mathematics
Designs
A resource that makes for excellent group work as middle schoolers explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group...
Mathematics Archives
Math Archives: Visual Calculus: Arc Length
This site explains the arc length. The site has links to related topics and examples.
Lawrence Hall of Science
The Math Page: Trigonometry: Arc Length
Here is a site that clearly and thoroughly explains arc length and its relationship to radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site...
Texas Instruments
Texas Instruments: Arc Length and Area of Sectors
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.
University of Georgia
University of Georgia: Arcs, Central Angles, Arc Length & Sector Area
This site provides practice problems for calculating central angles and calculating arc length.
CK-12 Foundation
Ck 12: Arc Length
[Free Registration/Login Required] Students use circumference to determine the arc length. Click challenge me to answer practice questions and click learn more to watch a video.
University of Georgia
University of Georgia: Segment and Arc Length
This site gives a short explanation about the segment and arc length
Math Words
Math Words: Arc Measurements
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
University of Saskatchewan (Canada)
Finding Arc Length and Central Angle Exercises
This site provides two geometry problems involving circles. One problem has the reader find the arc length given the angle and radius, the other problem has the reader find the measure of the angle given the arc length and radius....
Paul Dawkins
Paul's Online Notes: Calculus Ii: Parametric Equations and Polar Coordinates
The resource examines parametric equations and polar coordinates. Topics investigated are parametric curves, area with parametric equations, arc length with polar coordinates, and surface area with polar coordinates. Class notes,...
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...
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.
Interactive Mathematics
Interactive Mathematics: Applications of Radian Measure
After demonstrating how to find arc length and sector area using radian measures, student can practice the concepts with the examples provided and play an interactive game involving angular velocity.
Analyze Math
Analyze Math: Sectors and Circles Problems
Try these three problems regarding area of sectors, length of arcs, and central angles. The problems will challenge and intrigue sharp geometry students. Detailed written solutions are included.
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.
Math Open Reference
Math Open Reference: Constructions
Learn about drawing shapes using only a compass and straight edge or ruler with out measuring any lengths or angles.
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...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
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.
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).
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