Fraction of Circumference: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and understanding the fraction of a circle's circumference related to various angles and contexts, designed for Grade 7 students to develop procedural fluency and problem-solving skills.
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Fraction of Circumference: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A circle has a radius of 7 cm. What is the length of the arc corresponding to a central angle of 60°? Show your working.
[3 marks]2.
Calculate the fraction of the circumference that corresponds to an arc of 90° in a circle with radius 5 cm.
[2 marks]3.
A circle's radius is 10 cm. Find the arc length for a central angle of 120°. Show your working.
[3 marks]4.
If a central angle measures 45° in a circle with radius 8 cm, what fraction of the entire circumference does this arc represent?
[2 marks]5.
Plot the graph of y = 2x on the grid.
[2 marks]6.
Construct a triangle with sides 6 cm, 8 cm, and 10 cm on the grid. Label the angles.
[3 marks]7.
A full circle has a circumference of 62.8 cm. What is the length of the arc subtended by a central angle of 150°? Show your working.
[3 marks]8.
A sector of a circle has an arc length of 15 cm. If the radius of the circle is 10 cm, what is the central angle in degrees?
[3 marks]9.
A wheel with radius 0.5 m rotates such that its arc length of 1.25 m passes through a section of the wheel. What is the measure of the central angle in degrees?
[3 marks]10.
A car tire has a radius of 0.3 m. How many degrees does the tire rotate to cover 1.5 meters of distance? Show your working.
[4 marks]11.
Identify and correct the mistake: A student calculates the arc length for a 180° sector in a circle of radius 9 cm as 18π cm. Is this correct? Explain your reasoning.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet