Calculate perimeters, 𝑃, of standard two-dimensional objects in practical situations, including circles, sectors, triangles, rectangles, trapeziums, parallelograms and composites.  circle: 𝐶 = 2𝜋𝑟 where 𝐶 is circumference and 𝑟 is radius  sector: 𝑃 = 2𝑟 + 𝜃 180 𝜋𝑟 where 𝜃 is central angle and 𝑟 is radius General Mathematics 2025 v1.3

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Calculate areas, 𝐴, of standard two-dimensional objects in practical situations, including circles, sectors of circles, triangles, rectangles, parallelograms, trapeziums and composites.  circle: 𝐴 = 𝜋𝑟2 where 𝑟 is radius  sector: 𝐴 = 𝜃 360 𝜋𝑟2 where 𝜃 is central angle and 𝑟 is radius  triangle: 𝐴 = 1 2 𝑏ℎ where 𝑏 is base length and ℎ is perpendicular height  parallelogram: 𝐴 = 𝑏ℎ where 𝑏 is base length and ℎ is perpendicular height  trapezium: 𝐴 = 1 2 (𝑎 + 𝑏)ℎ where 𝑎 and 𝑏 are parallel lengths and ℎ is perpendicular height

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Calculate surface areas, 𝑆, of standard three-dimensional objects in practical situations, including rectangular prisms, cylinders, pyramids, cones, spheres and composites.  cylinder: 𝑆 = 2𝜋𝑟ℎ + 2𝜋𝑟2 where 𝑟 is radius and ℎ is perpendicular height  cone: 𝑆 = 𝜋𝑟𝑠 + 𝜋𝑟2 where 𝑟 is radius and 𝑠 is slant height  sphere: 𝑆 = 4𝜋𝑟2 where 𝑟 is radius