EngageNY
Construct a Square and a Nine-Point Circle
Anyone can draw a square, but can you CONSTRUCT a square? Here is a resource that challenges math scholars to create steps to finish their own construction. They test their ability to read and follow directions to complete a construction...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
Curated OER
Inscribing a Square in a Circle
Inscribing a square in a circle brings up a number of interesting geometry topics including triangle congruence and how to prove a quadrilateral is a square. This activity is followed up by finding the area of the square and determining...
Curated OER
Find the Radius of the Smallest Circle that Contains the Figure
In this geometry worksheet, students calculate the radius of the smallest possible circle that contains the figure provided. The complete solution is provided by clicking on the "show solution" button found below the problem.
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra learners are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the cylinder...
Curated OER
Don't Be a Square
Students analyze the relationship between radius and diameter. Students read Sir Cumference and the First Round Table then take measurements of circular items from around the room. Students compute the radius, diameter and...
Curated OER
Volume of Cylinders and Cones
Line drawings of a circle, a cylinder, and a cone at the top of the page contain the formulae for area and volume of each shape. Learners complete the missing information in a chart that lists diameter, radius, height, and area and...
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...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Curated OER
Exploring Circles
In this exploring circles worksheet, 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...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Curated OER
Circle Problems - Radius, Diameter, Circumference and Area
In this online math worksheet, students determine the radius, circumference, diameter and area of circles. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Curated OER
Algebra II - Lesson 10-3: Circles
In this equations of circles activity, students solve 4 short answer problems. Students find an equation of a circle given the center and radius.
Curated OER
Area of Circles and Probability
Students investigate the area of squares and circles. In this geometry activity, students calculate the area and probability of simple events. They work on a laptop using Safari.
Curated OER
Dan's Badge
Students solve a math problem using area formulas of circles and squares. They read and discuss the problem, analyze images of badges, reconstruct the badge from the problem using circles and rulers, and share the solution with the class.
Math eBook
Circumference of a Circle
Save trees and practice calculating the circumference of circles with this online interactive task! Of course, if you want individuals to turn it in, you will still need to print copies. There are 20 problems to solve, all of which...
Curated OER
Area and Perimeter
In this area and perimeter worksheet, 10th graders solve and complete 18 various types of geometry problems. First, they find the area of a figure shown with consecutive sides perpendicular. Then, students find the area and perimeter of...
Curated OER
Circles - Word Problems
In this geometry problem solving worksheet, students answer 8 words problems based on their knowledge of circles, circumference, radius, diameter, and perimeters. They show their work on the sheet between problems.
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a cylinder...
Curated OER
Square Pegs in Round Holes
Sixth graders problem solve the square peg in the round whole problem by applying knowledge of the formulas for the areas of the circle and the square. They decide on a problem solving strategy based on logical reasoning.
101 Questions
Apple Mothership
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee.
Curated OER
Square Circles
Pupils analyze and demonstrate how a circle can be measured in square units and examine how diameter, circumference and radius are related.
CPM
Cones and Spheres
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...