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...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Houghton Mifflin Harcourt
Similar Polygons and Circles
In these similar polygons and circles worksheets, students complete 15 questions including 9 word problems regarding similar polygons. Students then complete 15 questions including 1 word problem involving circumference, area, and arc...
Curated OER
Formulas Homework
In this circle formulas worksheet, students solve 20 fill in the blank problems. Students find the radius, diameter, circumference, area, arc length, and sector area of a circle.
Curated OER
Chapter 7 Final Review Extra Problems
In this Geometry review worksheet, students describe the relationships of two common triangles. They find the area of a segment created by a given sector of a circle for two circles. Students find the length of an arc bounded by the...
Curated OER
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.
Curated OER
Geometry Worksheet
In this geometry activity, students find the area of four polygons. They compute the measure of an angle. Students find the length of the sides of a right triangle. They name one arc and find the measure of two arcs.
Curated OER
Exploring Circles
In this exploring circles activity, 10th graders solve 12 different types of problems related to measuring circles in geometry. First, they refer to the figure on the sheet to name the center point, the three radii of the circle, the...
Curated OER
Small Angle Calculations
Students work with circles, angles and estimating angles in the night sky. For this circles and angles lesson, students practice measuring a degree using the circumference of a circle and apply the degree to determine a way to use their...
Curated OER
Finding Area of Sector
For this area of sector worksheet, students solve a total of 6 problems, finding area of sector using radius and length of arc. An answer key is provided.
Curated OER
Test on Chapter 7
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
Curated OER
High School Mathematics Problems from Alaska: Azimuth and Arc Length
Students track the Azimuth sunrise and sunset over time by creating a chart.
Curated OER
Circles: Geometry Review Worksheet
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...
Curated OER
The Aspect Ratio of Wings
Junior engineers examine aspect ration in airplane wings. Using the length and width of two differetn wings, they calculate the aspect ratios and compare drag rankings. An engineering or space science class would benefit from this...
Curated OER
Sectors of Pizza
Young scholars identify the properties of a circle. In this geometry lesson, students relate properties of diameter to sections of a pizza. They calculate the measure of an arc and missing angles.
Curated OER
Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic...
EngageNY
Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
Curated OER
Angles and Arcs
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
Curated OER
Basketball Measurements
In this basketball court measurements worksheet, students complete16 various types of problems using the illustrated basketball court at the bottom of the sheet. They find the diameter and radius of the smaller jump circle on the court....
Curated OER
Review of Trigonometry
In this review of trigonometry worksheet, students determine the values of angels using sine, cosine, and tangent. They determine arc length and find the coordinates of endpoints. This two-page worksheet contains...
Curated OER
A Special Relationship
Learners discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
Curated OER
Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
Curated OER
Chapter 7 Final Review Extra Problems: Triangles
In this triangles worksheet, high schoolers respond to 4 short answer problems. Students describe side relationships of different types of triangles. High schoolers find the area of a segment formed by a sector.
Curated OER
Chords of a Circle
For this geometry worksheet, 10th graders calculate the length of a chord and the distance from the center of a circle or radius. They compare diameter, chords and radius. There are 10 questions with an answer key.