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Worksheet
Curated OER

Circles: Geometry Review Worksheet

For Students 10th Standards
Tenth graders solve and complete 14 different geometry problems. First, they find the area and circumference of a circle with a given radius. Then, they find the area between a circle and an inscribed equilateral triangle given the...
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Lesson Plan
Curated OER

Radian Measure

For Teachers 9th - 12th Standards
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus lesson. They identify the proportion of the circle based on its radius while they convert between degrees and radians measurements.
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Lesson Plan
Curated OER

Arc Length and Sectors

For Teachers 9th - 12th Standards
Find the length of an arc. High schoolers relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
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Lesson Plan
Curated OER

Reference Angles

For Teachers 9th - 12th Standards
Learn how to measure the reference angles in degrees and radians.  Students find reference angles that are coterminal with a given angle.
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Lesson Plan
Texas Instruments

Area of Circles

For Teachers 9th - 12th Standards
Students explore circles. In this algebra/geometry lesson, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
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eBook
AAA Math

Aaa Math: Circumference of a Circle

For Students 9th - 10th Standards
Calculating the circumference or perimeter of a circle has gotten easier with this formula and practice for finding the circumference.
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Activity
Maths Challenge

Maths challenge.net: Semi Circle Lunes

For Students 9th - 10th Standards
A lune of a circle is defined and a problem of finding the area of two lunes is given.
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Handout
Cuemath

Cuemath: Area of a Circle

For Students 9th - 10th Standards
This mini-lesson explores the area of a circle. Provides a definition, examples, and practice questions with answers.
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Unit Plan
Cuemath

Cuemath: Arc Length

For Students 9th - 10th Standards
Learn all about arc length. This lesson targets what is arc length and the different formulas used to calculate it. Check-out the interactive simulations to know more about the lesson and try your hand at solving a few interesting...
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Unit Plan
Cuemath

Cuemath: Central Angle

For Students 9th - 10th Standards
Learn all about the basic properties of central angles. This lesson targets what is a central angle, central angle formula, central angle calculator, theorem of central angle, how to find central angles, and how to apply them while...
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Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
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...
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Website
National Council of Teachers of Mathematics

The Math Forum: Elementary Geometry Circles

For Students 9th - 10th Standards
The Math Forum offers an archive of question and answer sessions on circles and how they relate to geometry.
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Activity
University of Georgia

University of Georgia: Arcs, Central Angles, Arc Length & Sector Area

For Teachers 9th - 10th Standards
This site provides practice problems for calculating central angles and calculating arc length.
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Activity
Texas Instruments

Texas Instruments: Relation Between Central Angle and Inscribed Angle Measure

For Teachers 9th - 10th Standards
Students investigate the relationship between measure of central and inscribed angles in a circle.
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Lesson Plan
Texas Instruments

Texas Instruments: Relationship of Angles to the Circle

For Teachers 9th - 10th Standards
In this activity, students recognize the relationship of angles to circles. They study the Inscribed Angle Theorem and its corollaries.
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Activity
Texas Instruments

Texas Instruments: Arc Length and Area of Sectors

For Teachers 9th - 10th Standards
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.
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Activity
Texas Instruments

Texas Instruments: Central Versus Inscribed Angles in Circles

For Teachers 9th - 10th Standards
Using Cabri Jr. to explore the connection between central and inscribed angles along with their arc measure.
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Activity
Texas Instruments

Texas Instruments: Angles Formed by Intersecting Chords, Secants, and Tangents

For Teachers 9th - 10th Standards
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...
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Activity
Texas Instruments

Texas Instruments: Cabri Jr. Inscribed and Central Angles

For Teachers 9th - 10th Standards
This activity uses Cabri Jr. to explore the relationship between inscribed and central angles subtended from the same arc of a circle.
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Activity
Texas Instruments

Texas Instruments: Cabri Jr. Inscribed Angles

For Teachers 9th - 10th Standards
This activity uses Cabri Jr to discover that inscribed angles subtended by the same arc in a circle are congruent.
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Activity
Texas Instruments

Texas Instruments: Arcs and Angles: Explore Inscribed & Central Angle Properties

For Teachers 9th - 10th Standards
This activitie uses the power of Cabri Jr. to explore the relationship between inscribed angles and central anlges in cirles.
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Lesson Plan
Texas Instruments

Texas Instruments: Relationship Between Radius and Tangent to a Circle

For Teachers 9th - 10th Standards
Generalize that a tangent and a radius form a 90-degree angle.
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Activity
Texas Instruments

Texas Instruments: Approximation of Pi Using an Area Model

For Teachers 9th - 10th Standards
Students will approximate pi by setting up trigonometric ratios and calculating the areas of regular polygons inscribed within and circumscribed about a circle.
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Activity
Texas Instruments

Texas Instruments: Inscribed Angles Intercepting the Same Arc

For Teachers 9th - 10th Standards
Students investigate the properties of angles inscribed in a circle. They use the drawing and measurement tools of Cabri Jr. to draw and measure certain angles, and establish the relationship between angles that intercept the same arc.