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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The perimeter of a sector with radius 5 and angle 120° (use π ≈ 3.14):

Answer: 10 + 10.47.

  • A 10 + 10.47
  • B 10 + 5.24
  • C 5 + 10.47
  • D 5 + 5.24

Correct answer: A. 10 + 10.47

Explanation: Perimeter = 2r + arc = 2×5 + (120/360)×2π×5 = 10 + (1/3)×10π = 10 + 10.47 ≈ 20.47.

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 →