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IGCSE/GCSE Mathematics - Length, Area and Volume

Length, Area and Volume

August 23, 2021

Do you still remember the formulae for calculating the area or volume of circle in IGCSE/GCSE Maths?

Circles

  • Circle Area โŸถ ๐›‘๐‘Ÿยฒ
  • Circumference โŸถ ๐›‘๐‘ซ
  • Semi - Circle Area โŸถ ๐›‘๐‘Ÿยฒ รท 2
  • Semi - Circle Perimeter โŸถ (๐›‘๐‘ซ รท 2) + ๐‘ซ
  • Area of a sector โŸถ ๐šน/360 x ๐›‘๐‘Ÿยฒ
  • Length of an arc โŸถ  ๐šน/360 x ๐›‘๐‘ซ
  • Perimeter of Sector โŸถ ๐šน/360 x ๐›‘๐‘ซ + ๐‘ซ

Area

  • Triangle Area โŸถ ๐‘ร—โ„Žรท2
  • Trapezium Area โŸถ ยฝ(๐‘Ž+๐‘) ร— โ„Ž
  • Parallelogram Area  โŸถ ๐‘ร—โ„Ž
  • Cuboid Volume โŸถ ๐‘™ ร— w ร— โ„Ž
  • Prism volume  โŸถ area of cross section ร— โ„Ž/length
  • Cylinder volume โŸถ ๐›‘๐‘Ÿยฒโ„Ž  = (area of cross section x height)
  • Cylinder Surface area โŸถ ๐›‘๐‘ซ x โ„Ž + 2(๐›‘๐‘Ÿยฒ) = Curved SA + area of 2 bases
  • Curved SA of cylinder โŸถ ๐›‘๐‘ซ x โ„Ž = circumference x height
  • Pyramid volume โŸถ โ…“๐‘ร—โ„Ž = โ…“(area of base x height)
  • Cone Volume โŸถ โ…“๐›‘๐‘Ÿยฒโ„Ž       = โ…“(area of base x height)
  • Cone Surface area โŸถ ๐›‘๐‘Ÿ๐‘™ + (๐›‘๐‘Ÿยฒ/area of base) where ๐‘™ = โˆšrยฒ + hยฒ
  • Perimeter โŸถ Circumference proportion + left over sides
  • Sphere volume โŸถ 4/3๐›‘๐‘Ÿยณ
  • Sphere SA โŸถ 4๐›‘๐‘Ÿยฒ
  • Hemisphere โŸถ (4/3๐›‘๐‘Ÿยณ) รท2
  • Hemisphere SA โŸถ 2๐›‘๐‘Ÿยฒ + base area
  • Length x:y
  • Area xยฒ:yยฒ
  • Volume xยณ:yยณ
  • Smaller surface/area = bigger pressure exerted as the force cannot spread.

That's the end of the topic!

Drafted by Bonnie (Mathematics)