Mathed Up!
Area of Sector and Length of Arcs
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...
Virginia Department of Education
Arc Length and Area of a Sector
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...
Virginia Department of Education
Angles, Arcs, and Segments in Circles
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...
Curated OER
Arc Length and Sector Area
In this arc length worksheet, students find the designated arc length of various circles. They determine the area of each sector. This four-page worksheet contains 24 problems. Answers are provided on the last two pages.
Flipped Math
Circles and Arc Lengths
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...
Curated OER
Length of an Arc and Area of a Sector
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...
Curated OER
Arc Length Transparencies
In this geometry worksheet, students use an arc length transparency to calculate the circumference and arc length of a circle. There are 18 questions.
Curated OER
Arcs and Sectors
For 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...
Curated OER
Circles and Arcs, Circumference and Area Multiple Choice
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 worksheet is...
Curated OER
Inverse Trig Functions
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
Curated OER
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Curated OER
Estimating Pi as a Length
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...
Curated OER
Arcs in Circles
In this arcs in circles activity, 10th graders identify 10 different circles and the measurement of their arcs. First, they determine the length of a minor arc to the nearest integer. Then, students determine the radius of a circle...
Curated OER
Solve for the Arc Length Problems
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.
Curated OER
Angles and Arcs
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...
Curated OER
Radians, Arc Length, and the Area of a Sector
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 problems. Answers...
Curated OER
Arcs and Chords
For 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,...
Curated OER
Arcs and Chords
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....
Curated OER
Arcs and Chords
For this circles worksheet, students find missing arc lengths and chords. Students also find the length of radii in three problems.
Curated OER
Angles and Arcs
In 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...
Curated OER
Circle Formulas
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.
Flipped Math
Secants and Tangents
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...
Curated OER
11.4 Practice B: Circumference and Arc Length
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...
Curated OER
Arc Length and Radian Measure
In this arc length learning exercise, students convert radians to degrees and degrees to radian measure. Ten problems are provided on this one-page learning exercise.
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