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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

In a circle, the angle in a semicircle is:

Answer: 90°.

  • A 45°
  • B 60°
  • C 90°
  • D 180°

Correct answer: C. 90°

Explanation: Angle in a semicircle (Thales theorem): the angle subtended at any point on the circle by the diameter is 90°.

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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