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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Area of sector of radius 7 with angle 60° (π = 22/7):

Answer: 154/3 cm².

  • A 154/3 cm²
  • B 77/3 cm²
  • C 22 cm²
  • D 44 cm²

Correct answer: A. 154/3 cm²

Explanation: Area = (θ/360°) × πr² = (60/360) × (22/7) × 49 = (1/6) × 154 = 154/6 = 77/3. Wait: (1/6) × 22 × 7 = 154/6 = 77/3 cm².

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 →