Curated OER
Circles
In this circles worksheet, 10th graders solve 10 different problems that include determining the chords, secants, and tangents of circles shown. First, they determine 4 different line segments given a circle with secants and chords with...
Curated OER
Chapter 8: Circles
In this circles activity, students define and sketch 20 terms about circles. Students sketch radii, chords, diameters, secants, concentric circles, etc.
Curated OER
Writing Equations of Circles
In this writing equations worksheet, students examine given information and write the equation of a circle in standard form. This four-page worksheet contains 30 problems. Answers are provided on the last page.
CK-12 Foundation
Unit Circle: Medieval Castle Defense
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
CK-12 Foundation
Tangent Graphs: Slope and Angle
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
Balanced Assessment
Bicycle Chain II
Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain.
Curated OER
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.
Curated OER
Find the Diameter of a Circle
In this online worksheet, 11th graders solve 1 challenge problem, where they must determine the diameter of a circle given different variables. The problem is printable and a solution is available.
Curated OER
Write the Parts of the Circle in the Place Holders
In this parts of a circle worksheet, students place the names of 6 different parts of a circle in rectangular place holders. They use labels such as cord, secant, diameter, radius, tangent, and center.
Curated OER
Secants, Tangents and Arcs
Students identify chords and angles. In this geometry lesson, students calculate the length of the chords inside and outside of-the circle. They differentiate between tangent and secant lines.
Curated OER
Circles and Angles
Learners identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
Curated OER
Circles
In this circles worksheet, 10th graders solve and complete 8 different problems. First, they find the two segments perpendicular to a given circle. Then, students find the line tangent to the circle illustrated and the sides marked. They...
Curated OER
Circles
In this circles instructional activity, 10th graders solve and complete 8 different types of problems. First, they find the measures of each segment given the center of a circle. Then, students find the length of a side of a triangle...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
Concord Consortium
Bicycle Chain
Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...
Balanced Assessment
Oops! Glass Top
A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the circular top...
Curated OER
Tangent Properties
Students explore properties of tangent lines. In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius. Students use that relationship to...
Curated OER
Three Tangent Circles
In this tangent circles worksheet, students use pi to solve a problem involving tangent circles. This one-page worksheet contains 1 problem. The answer is provided at the bottom of the page.
Curated OER
Tangents and Circles
In this tangents and circles worksheet, 10th graders solve 10 different problems that include various tangents and circles. First, they determine in each diagram whether the segments shown are tangents or not. Then, students determine...
Curated OER
Quiz: Angles in Circles - Angles Outside the Circle
In this angles in circles worksheet, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page worksheet contains ten problems.
Curated OER
Review 13.1-13.2: Unit Circle
In this unit circle worksheet, students find the sine, cosine, tangent, cotangent, and co-secant of given values. They determine the exact value of trigonometric ratios. Students convert from degrees to radians. This two-page worksheet...
Curated OER
Circles and Ellipses
In this circles and ellipses worksheet, students solve and complete 5 different types of problems. First, they write each equation in standard form. Then, students graph and label Write the equation of the ellipse whose center is the...
Curated OER
Circles and Ellipses
In this circles and ellipses worksheet, students solve and complete 12 different types of problems. First, they find the distance between the given pair of points. Then, students find the center and radius of each circle and sketch. They...