Curated OER
Secants, Tangents and Arcs
Young scholars identify chords and angles. In this geometry instructional activity, students calculate the length of the chords inside and outside of-the circle. They differentiate between tangent and secant lines.
Curated OER
Math: Arcs and Chords
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
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Circle Proofs
For this circle proofs worksheet, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use the circle...
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Geometry of Circles: Week 7
In this circle worksheet, students determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
Curated OER
Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
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Circles
Tenth graders explore and define the radius and diameter of a circle. In this geometry lesson, 10th graders calculate the circumference and area of a circle using real world objects and shapes. They discuss chords and lines tangent to a...
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Segment Formulas Homework
In this geometry worksheet, students examine three different diagrams and apply the appropriate formulas to each of the following situations: two chords, a tangent and a secant, and two secants. There are 17 questions to solve for the...
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Relationships Among Arc and Angle Measures in Circles
Students follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are...
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Evaluating the Products of Chords of a Circle
Students investigate chords and make predictions. In this geometry lesson plan, students graph circles and calculate the measurement of each chord. They perform the calculations and make conjectures.
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Geometry Worksheet: Area (6)
In this geometry learning exercise, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle. The one page learning exercise contains a drawing of and an...
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Circle Terminology
For this geometry worksheet, students identify radii, diameters, chords, tangents, secants and other terminology associated with circles. The one page worksheet contains eighteen problems. Answers are not provided.
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Chors, Secants, Tangents
Pupils identify the relationship between chords, secants and circles. In this geometry lesson, students calculate the length of the chords. They sketch the secant lines on a circle.
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Measuring the Earth
Young scholars identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
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Arc and Angles Formed by Secants and Tangents
In this calculus worksheet, students solve problems by finding the line of tangency and measure of the arcs and angles form by a secant line. There are 9 questions.
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Circle Packing
Young scholars identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
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Exploring Secants: Products of Segments
Learners explore secants and circles. In this geometry lesson, students identify the properties of two and three dimensional shapes. They create arguments to prove the theorems are true.
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DEAD MAN'S CURVE
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create...
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Using Circumference
Students participate in a lesson that covers the concept of finding the circumference of a circle. The teacher covers relevant vocabulary with the students. They work in groups to measure objects and calculate the formula to find the...
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Intersecting Lines and Segments of Measures
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry instructional activity, students explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the...
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Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Curated OER
Tangent Properties
In this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
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Discovering The Ratio Pi And The Diameter
Students relate the ratio of Pi to the diameter of a circle. In this geometry lesson, students investigate the relationship of the chord of the circle the the number Pi. They define ration, chord, circumference and diameter and find...
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Inscribed Angles
Students analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.