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Urban Geometry Worksheet

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Urban Geometry Worksheet worksheet preview

Urban Geometry Worksheet

Urban city layout with geometric shapes

🏙️ Part 1: Identifying Urban Geometry

1. Which geometric shape would be BEST for designing a roundabout?

Rectangle

Triangle

Circle

Trapezium

2. A city park is designed as a circle with a diameter of 80 metres. What is the radius?

160 metres

40 metres

80 metres

20 metres

3. Two streets intersect to form a right angle. What is the measurement of this angle?

45°

90°

180°

360°

4. Which of these shapes might you find in urban design? (Tick all that apply)

Rectangular building footprints

Triangular park sections

Circular plazas

Trapezium-shaped garden beds

📐 Part 2: Area Calculations for Urban Spaces

5. A rectangular community garden measures 25 metres by 15 metres. Calculate its area.

Formula: Area = length × width

Area = __________ square metres

6. A triangular park has a base of 30 metres and a height of 20 metres. Calculate its area.

Formula: Area = ½ × base × height

Area = __________ square metres

7. A circular fountain has a radius of 6 metres. Calculate its area. (Use π = 3.14)

Formula: Area = π × r²

Area = __________ square metres

8. A trapezium-shaped plaza has parallel sides of 40m and 60m, with a height of 25m. Calculate its area.

Formula: Area = ½ × (a + b) × h

Area = __________ square metres

🎯 Part 3: Design Challenge

9. Design a simple urban space layout in the box below. Include at least one rectangle, one circle, and one triangle. Label each shape and provide dimensions.
10. Calculate the total area of your urban space design from Question 9. Show your working below.

Total area = __________ square metres

11. If your urban space was scaled up by a factor of 2, what would happen to the total area? Explain your reasoning.
12. Describe one advantage of using geometric shapes in urban planning. Use appropriate mathematical vocabulary in your answer.

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