Worksheet
Curated OER

Solve for the Arc Length Problems

For Students 11th - Higher Ed
In this arc length worksheet, learners solve for the arc length for four angles.  Three of the angles are given in degrees while the other angle length is given in radians.  The solutions are not provided.
Worksheet
Curated OER

Angles and Arcs

For Students 10th
In this angles and arcs worksheet, 10th graders solve 8 different problems that relate to determining the measure of various angles and arcs of a circle. First, they define a central angle and the difference between a major and minor...
Lesson Plan
Curated OER

Radians, Arc Length, and the Area of a Sector

For Teachers Higher Ed
In this college level geometry worksheet, students convert between degrees and radians.  Students determine arc length and solve problems involving the area of a sector.  The four page worksheet contains seventy-four...
Lesson Plan
Curated OER

Length of an Arc

For Teachers 11th - 12th
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Worksheet
Curated OER

Arcs and Chords

For Students 10th
In this arcs and chords worksheet, 10th graders solve 7 different types of problems related to identifying arcs and chords in a circle. First, they find the measure of each arc to the nearest tenth, if O is the center point. Then,...
Worksheet
Curated OER

Arcs and Chords

For Students 10th
In this arcs and chords worksheet, 10th graders solve 6 different problems related to determining the arcs and chords of various circles. First, they define the 3 theorems that state the relationships between arcs, chords, and diameters....
Worksheet
Curated OER

Arcs and Chords

For Students 9th - 10th
In this circles activity, students find missing arc lengths and chords.  Students also find the length of radii in three problems.
Worksheet
Curated OER

Angles and Arcs

For Students 10th
For this angles and arcs worksheet, 10th graders solve 18 various types of problems related to determine various angles and arcs of a circle. First, they find the measure of each angle and arc of the first circle shown. Then, students...
Worksheet
Curated OER

Circle Formulas

For Students 10th
Tenth graders apply various circle formulas to determine radii, diameter, circumference, area, arc length, and sector area. The two page worksheet contains twenty-five problems. Answers are not provided. 
Lesson Plan
Mathematics Assessment Project

Calculating Arcs and Areas of Sectors of Circles

For Teachers 9th - 12th Standards
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an...
Instructional Video16:21
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Flipped Math

Secants and Tangents

For Students 9th - 12th Standards
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
Worksheet
Curated OER

11.4 Practice B: Circumference and Arc Length

For Students 9th - 12th
In this circumference and arc length worksheet, students determine the circumference, radius, and arc length of circles. They find the area of a shaded region within a circle. Students determine the probability that a randomly chosen...
Worksheet
Curated OER

Arc Length and Radian Measure

For Students 10th - 11th
In this arc length worksheet, learners convert radians to degrees and degrees to radian measure. Ten problems are provided on this one-page worksheet.
Worksheet
Curated OER

Parametric Equations: Speed, Arc Length

For Students 11th - Higher Ed
In this parametric equation instructional activity, students determine the length an object travels over a given amount of time. This one-page instructional activity contains two problems.
Lesson Plan
Curated OER

Secants, Tangents and Arcs

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Arc Measurement Based on The Measurement of a Central Angle

For Teachers 9th - 10th
Young scholars define keywords that are important to solve problems. In this geometry lesson, students find the arc length and angle of a circle. They convert between radians and degrees.
Worksheet
Curated OER

Circles

For Students 10th
In this circles worksheet, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the measure of each...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Lesson Plan
Curated OER

Length of an Arc

For Teachers 12th
Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
Lesson Plan
Curated OER

Math: Arcs and Chords

For Teachers 9th - 10th
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...
Performance
Radford University

Marking Starting Locations for the 400-Meter Dash Track and Field Event

For Teachers 9th - 12th Standards
No fair! I had to run more than they did! Young mathematicians first measure various lengths on a school track. They develop strategies and show calculations to prove that all participants will run the same length using a staggered...
Activity
101 Questions

Suitcase Circle

For Teachers 9th - 12th Standards
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...

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