Arc: Fluency & Practice
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on understanding and calculating arcs in circles. It includes procedural questions, problem-solving tasks, real-world applications, and extension challenges to deepen understanding of arcs.
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Arc: Fluency & Practice
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
What is the measure of an arc that subtends a central angle of 60 degrees?
[2 marks]2.
Calculate the length of an arc in a circle with radius 10 cm that subtends a 90-degree angle at the center.
[3 marks]3.
If an arc measures 120 degrees in a circle with radius 15 cm, what is its length?
[3 marks]4.
Plot the graph of y=2x on the grid, representing the relationship between the measure of an arc (in degrees) and its length (in cm) in a circle with radius 20 cm.
[3 marks]5.
Construct a minor arc in a circle with radius 8 cm that measures 45 degrees. Show your construction on the grid.
[4 marks]6.
A sector of a circle has an arc length of 14 cm and radius 7 cm. What is the measure of its central angle?
[3 marks]7.
A wheel with radius 25 cm rotates so that an arc of 100 degrees is traced. What is the length of this arc?
[3 marks]8.
Identify and correct the mistake in the following statement: "The length of an arc is equal to the radius times the central angle in degrees."
[4 marks]9.
A circular track has a radius of 50 meters. If a runner completes an arc length of 78.5 meters, approximately what is the measure of the central angle in degrees?
[4 marks]10.
A sector of a circle has an arc length of 20 cm and the total circumference of the circle is 62.8 cm. What is the measure of the sector's central angle?
[4 marks]11.
A student mistakenly uses the formula: Arc length = radius + central angle in degrees. Explain why this is incorrect and provide the correct formula.
[4 marks]12.
Challenge: In a circle with radius 12 cm, find two different angles that produce the same arc length. Show your calculations.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet