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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...
Curated OER
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Exploratorium
Laser Jello
The concepts of refraction and reflection gel with your physical science class during this colorful exploration. Shining lasers through Petri-dish-shaped gelatin desserts, they will notice how the light travels and bounces off the sides....
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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.
Texas Instruments
Texas Instruments: Relation Between Central Angle and Inscribed Angle Measure
Students investigate the relationship between measure of central and inscribed angles in a circle.
Texas Instruments
Texas Instruments: Angles Formed by Intersecting Chords, Secants, and Tangents
In this activity, students will investigate properties of angles and arcs formed when chords, secants, and tangents intersect and intercept arcs in a circle. They discover several important theorems concerning circles and arc sizes. They...
Texas Instruments
Texas Instruments: Central Versus Inscribed Angles in Circles
Using Cabri Jr. to explore the connection between central and inscribed angles along with their arc measure.
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...
Texas Instruments
Texas Instruments: Grandparents and Special Friends Day
This lesson was designed for our Grandparents and Special Friends day. It can be used for any visitation day, or an open house. The lesson is designed to review percent of a whole and the sector of the circle representing the percentage....
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....