Octagon: Real-world Applications in Engineering
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the properties of octagons within engineering contexts, including calculations of angles, area, and real-world design problems.
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Octagon: 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 measure of each interior angle of a regular octagon.
[2 marks]2.
Find the sum of the interior angles of an octagon.
[2 marks]3.
What is the measure of each exterior angle of a regular octagon?
[2 marks]4.
Construct an octagon with sides of 5 cm each on the grid. Ensure it is regular.
[3 marks]5.
Calculate the perimeter of a regular octagon with side length 8 meters.
[2 marks]6.
Find the area of a regular octagon with side length 10 cm using the formula: Area = 2(1 + √2) × s².
[3 marks]7.
In an engineering project, an octagonal monument has a total interior angle sum of 1440°. Is it a regular octagon? Explain.
[3 marks]8.
A metal frame in the shape of a regular octagon has a side length of 12 cm. If each corner is cut to form a smaller octagon, reducing each side by 2 cm, what is the new perimeter?
[3 marks]9.
Calculate the external angle of a regular octagon and verify that the sum of all external angles equals 360°.
[2 marks]10.
A designer plans to create a decorative octagonal window with an outside perimeter of 48 meters. What is the length of each side?
[2 marks]11.
A frame is made from an octagon with side length 15 cm. If the interior angles are each 135°, what is the total area if the octagon is divided into 8 congruent isosceles triangles? (Hint: Use the triangle area formula with known angles and side length.)
[4 marks]12.
Identify the common mistake: A student calculates the sum of interior angles of an octagon as 1440°, assuming each interior angle is 180°. What is wrong with this calculation?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet