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AQA GCSE · Question 03.1 · Geometry and Measures
A building in the shape of a cylinder has diameter 40 m and height 55 m. On the centimetre grid, draw a plan of the building. Use a scale of 1 cm to 10 m.
A building in the shape of a cylinder has diameter 40 m and height 55 m. On the centimetre grid, draw a plan of the building. Use a scale of 1 cm to 10 m.
How to approach this question
1. Understand what a "plan" view is (a view from directly above).
2. For a cylinder, the plan view is a circle.
3. Use the given scale (1 cm to 10 m) to convert the real diameter of the building (40 m) into the diameter for your drawing.
4. Calculate the radius for your drawing (half the diameter).
5. Use a compass to draw the circle on the grid with the correct radius.
Full Answer
The plan is a view from directly above. For a cylinder, this is a circle.
The diameter is 40 m.
Using the scale 1 cm : 10 m, the diameter on the drawing is 40 / 10 = 4 cm.
The radius is half the diameter, so the radius is 2 cm.
The answer is a circle with a radius of 2 cm drawn on the grid.
A plan view is a 2D drawing of an object as seen from directly above. For a cylinder, the plan view is a circle.
The real diameter of the cylinder is 40 m.
The scale is 1 cm to 10 m.
To find the diameter on the drawing, we convert the real diameter using the scale:
Diameter on drawing = Real diameter / 10 = 40 m / 10 = 4 cm.
The radius of the circle to be drawn is half of this diameter, which is 2 cm.
You should draw a circle with a radius of 2 cm (which is 2 squares on the centimetre grid) using a compass.
Common mistakes
✗ Drawing the front elevation (a rectangle) instead of the plan.
✗ Using the height of the cylinder in the plan view. The height is not visible from above.
✗ Incorrectly applying the scale, e.g., drawing a circle with a 40 cm or 4 cm radius instead of a 2 cm radius.
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