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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Arc length of sector with radius 14 cm and angle 45° (use π = 22/7):

Answer: 11 cm.

  • A 11 cm
  • B 22 cm
  • C 44 cm
  • D 7 cm

Correct answer: A. 11 cm

Explanation: Arc length = (θ/360°) × 2πr = (45/360) × 2 × (22/7) × 14 = (1/8) × 88 = 11 cm.

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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