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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The area of an equilateral triangle with side a is:

Answer: √3 a²/4.

  • A a²/2
  • B √3 a²/4
  • C a²√3
  • D a²/4

Correct answer: B. √3 a²/4

Explanation: Area of equilateral triangle = (√3/4)a².

Cylinder, Cone, SphereV=πr²hCSA=2πrhV=⅓πr²hCSA=πrlV=4/3πr³SA=4πr²

Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.

Concept context

Perimeters, areas, and volumes of 2D and 3D shapes

Read the full Circles & Mensuration notes →