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Area, perimeter and circles

IGCSE Mathematics 0580, topics 5.1 to 5.3 and 5.5. Units of measure, area and perimeter of rectangles, triangles, parallelograms and trapezia, circles, arcs and sectors, and compound shapes.

About this lab: Area, perimeter and circles

Interactive simulation for Cambridge IGCSE Mathematics 0580 mensuration in two dimensions: convert units of length, area, volume, capacity and mass and see why square and cubic units change by 100 and 1000, cut and slide parallelograms, triangles and trapezia to see where their area formulas come from, roll a circle to find its circumference and rearrange sectors to find its area, find arc lengths, sector areas and segments, and split compound shapes into pieces.

IGCSE Mathematics 0580, topics 5.1 to 5.3 and 5.5. Units of measure, area and perimeter of rectangles, triangles, parallelograms and trapezia, circles, arcs and sectors, and compound shapes.

Area, perimeter and circles is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 5 Mensuration, sections 5.1 Units of measure, 5.2 Area and perimeter, 5.3 Circles, arcs and sectors and more). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 5 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

Full syllabus map: IGCSE Mathematics 0580 topic 5.

How to use this simulation

  1. 1. Units.
  2. 2. Area and perimeter.
  3. 3. Circles.
  4. 4. Arcs and sectors.
  5. 5. Compound shapes.
  6. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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