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Urban Design Geometry

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Urban Design Geometry

Urban design geometric shapes

🏙️ Part 1: Geometric Shapes in Urban Design

1. Identify the geometric shapes commonly used in these urban design features:

a) Roundabout: _______________

b) Town square: _______________

c) Triangular park: _______________

d) Rectangular building plot: _______________

2. Match the English and te reo Māori terms for these shapes:

Triangle - Tapawhā rite

Square - Tapatoru

Circle - Porohita

Rectangle - Tapawhā roa

3. Which angle types would you find at these urban intersections? (Check all that apply)

At a T-junction:

Right angle (koki tika) - 90°

Acute angle (koki māmā) - less than 90°

Obtuse angle (koki nui) - greater than 90°

Straight angle - 180°

📐 Part 2: Angle Calculations

4. Calculate the missing angles in this street intersection design:

At a crossroads, three angles are given as 85°, 95°, and 90°. Find the fourth angle.

Answer: The fourth angle = _______°

5. A triangular park has two angles measuring 60° and 45°. What is the third angle?

Remember: The sum of angles in a triangle (tapatoru) = _______°

Third angle = _______°

6. Two parallel bike lanes are crossed by a street. If one angle formed is 110°, what is the corresponding angle on the opposite side?

Corresponding angle = _______°

📏 Part 3: Area Calculations for Urban Spaces

7. Calculate the area of a rectangular community garden that is 15 metres long and 8 metres wide.

Formula: Area = length × width

Area = _______ m²

8. A triangular park has a base of 20 metres and a height of 12 metres. What is its area?

Formula: Area = ½ × base × height

Area = _______ m²

9. Design Challenge: Calculate the total area of this composite urban plaza:

The plaza consists of:

• A rectangular section: 25m × 15m

• A triangular section: base 10m, height 8m

Step 1 - Rectangle area:

Step 2 - Triangle area:

Step 3 - Total area:

Total plaza area = _______ m²

10. Reflection: Explain why understanding geometry is important for urban designers. Use at least two geometric concepts in your answer.

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