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Circles
In this geometry activity, students solve problems by finding the diameter, radius and chord of a circle. They also solve for the area of the circle. There are 10 questions with an answer key.
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Tangent Properties
In this geometry worksheet, 10th graders solve problems based on the properties of lines tangent to one or more circles. Constructions are included. The one page worksheet contains eight questions. Answers are not included.
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Secant Line Approximation of the Tangent Line
Students perform operation with secant and tangent lines. For this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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Circle Conjectures
Learners are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core...
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Ten Multiple-Choice Circle Problems
In this circle worksheet, learners solve ten multiple-choice questions concerned with the area, radius, diameter, and circumference of a circle. The solutions are provided by clicking on the "show answers" button on the bottom of the page.
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Arc Length Lesson
Students find the length of the arc of a circle. In this geometry lesson plan, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed....
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Tangents to a Circle
Students construct tangent lines. In this geometry lesson, students identify the point of tangency, secant and tangent lines. They graph the lines on the Ti and make observations.
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Chors, Secants, Tangents
Students 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
Students 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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Segment Formulas Multiple Choice
In this geometry worksheet, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length. The one page interactive worksheet contains ten problems. Answers are included.
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Numerical Practice with Big Circles
In this numerical practice instructional activity, students determine the measurement of given angles. Using trigonometry ratios, they find the measurement of ten angles on this one-page instructional activity.
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Circle Proofs
In this circle proofs learning exercise, 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...
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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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Geometry of Circles: Week 7
In this circle worksheet, pupils 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.
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Tangent Properties
In this pre-calculus activity, 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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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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Geometry Worksheet: Area (6)
For this geometry worksheet, 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 worksheet contains a drawing of and an explanation of...
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Circle Terminology
In 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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Circle Packing
Students 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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Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
West Contra Costa Unified School District
Arcs and Angles
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
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Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...