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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The equation of a circle with centre at the origin and radius 5 is:

Answer: x² + y² = 25.

  • A x² + y² = 25
  • B x² + y² = 5
  • C x² − y² = 25
  • D x + y = 5

Correct answer: A. x² + y² = 25

Explanation: A circle of radius r centred at the origin is x² + y² = r², so x² + y² = 25.

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

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