Arc: Real-world Applications in Engineering
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of arcs in circles, focusing on real-world engineering applications. Students will learn to calculate arc lengths, angles, and apply these concepts to practical scenarios.
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Arc: Real-world Applications in Engineering
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the length of an arc that subtends a central angle of 60° in a circle with radius 10 cm.
[3 marks]2.
In a circle with radius 15 meters, what is the measure of the central angle corresponding to an arc length of 20 meters?
[3 marks]3.
A steel ring has a radius of 5 meters. An engineer needs to cut an arc of 90° for a custom joint. What is the length of this arc?
[3 marks]4.
Plot on the grid a circle with radius 8 cm and mark an arc that subtends a 45° central angle. Label the arc length.
[4 marks]5.
A bridge arch forms a 120° arc in a circle of radius 25 meters. Calculate the length of the arch.
[3 marks]6.
A circular track has a radius of 50 meters. How long is an arc that subtends a 30° central angle?
[3 marks]7.
An engineering drawing needs an arc of radius 12 cm to cover a 150° segment. Determine the length of this arc.
[3 marks]8.
A circular component has an arc length of 15 cm. If the radius is 6 cm, what is the measure of the central angle in degrees?
[3 marks]9.
An engineer designs a circular disk with an arc of 4 cm length covering 30° of the circle. If the radius is unknown, find it.
[4 marks]10.
A mistake was made in calculating an arc length. The radius was taken as 10 cm, and the central angle as 180°, but the answer given was 10 cm. Identify and explain the error.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet