GCSE Maths (AQA)

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Surface Area of a Cone

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Geometry and Measures Mensuration and Calculation

Surface Area of a Cone

6:20 Curved 3D Shape Calculations
Spec G17
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  • The surface area of a cone can be calculated by adding together the area of the circular base and the area of the curved surface.
  • The curved surface area of a cone is proportional to the radius of the circular base and the slanted height of the cone.
  • The formula for the curved surface area of a cone is pi r l, where r is the radius of the circular base and l is the slanted height of the cone.
  • The curved surface of a cone can be spread out flat to create a sector of a circle with the same area.
  • The formula for the area of a sector is the arc length over the circumference of the whole circle times the area of the whole circle.
  • The total surface area of a cone is pi r squared plus pi r l, where r is the radius of the circular base and l is the slanted height of the cone.
  • To calculate the surface area of a cone, calculate the area of the circular base and the area of the curved surface separately, then add them together.

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