Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Assessment
Mathed Up!

Area of Sector and Length of Arcs

For Students 9th - 12th Standards
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Instructional Video21:05
2
2
Flipped Math

Circles and Arc Lengths

For Students 9th - 12th Standards
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Worksheet
Curated OER

Arc Length and Sector Area

For Students 10th - 12th
In this arc length activity, students find the designated arc length of various circles. They determine the area of each sector. This four-page activity contains 24 problems. Answers are provided on the last two pages.
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

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. 
Worksheet
Mt. San Antonio Collage

Circles

For Students 9th - 12th Standards
Don't circle around the topic, but get right to the center with tons of practice regarding circles in geometry. The note-incorporated activity provides guided practice through many topics such as central angles, inscribed polygons...
Lesson Plan
Curated OER

Length of an Arc and Area of a Sector

For Teachers 10th
For this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students...
Lesson Plan
Curated OER

Geometry of Circles - Week 7 (Area & Circumference)

For Teachers 12th - Higher Ed
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...
Instructional Video16:02
2
2
Flipped Math

Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Worksheet
Curated OER

Solve for the Arc Length Problems

For Students 11th - Higher Ed
In this arc length worksheet, students 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.
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

Geometry of Circles: Week 7

For Teachers 10th - Higher Ed
In this circle worksheet, students 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.
Lesson Plan
Virginia Department of Education

Angles, Arcs, and Segments in Circles

For Teachers 9th - 11th Standards
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
Lesson Plan
EngageNY

Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Arcs and Sectors

For Students 10th
In this arcs and sectors worksheet, 10th graders solve and complete 2 different types of problems. First, they find the radius of a circle with a given circumference. Then, students find the perimeter of the given sector and the area of...
Worksheet
Curated OER

Estimating Pi as a Length

For Students Higher Ed
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
Worksheet
Curated OER

Circles and Arcs, Circumference and Area Multiple Choice

For Students 9th - 12th
In this circles worksheet, students determine the circumference and area of circles.  They compute the length of an arc and find the radius.  This one-page worksheet contains 6 multiple-choice problems.  This on-line...
Lesson Plan
Curated OER

Chords of a Circle

For Teachers 10th
In 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.
Assessment
1
1
Balanced Assessment

Curvy-Ness

For Students 11th - 12th
Curves ahead! Develop a numerical measurement of curvy-ness. The class is challenged to come up with a definition of curvy that can be applied to curves. The class members use their defined measurement to describe a curve.
Assessment
EngageNY

Geometry Module 5: Mid-Module Assessment

For Teachers 9th - 12th Standards
How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.
Assessment
CCSS Math Activities

Satellite

For Students 9th - 12th Standards
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...
Worksheet
Houghton Mifflin Harcourt

Similar Polygons and Circles

For Students 9th - 12th
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...