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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

A circle has chord of length 8 cm. Distance from centre to chord is 3 cm. Radius =

Answer: 5 cm.

  • A 4 cm
  • B 5 cm
  • C 7 cm
  • D 6 cm

Correct answer: B. 5 cm

Explanation: The perpendicular from centre bisects the chord. Half-chord = 4. r² = 4² + 3² = 16 + 9 = 25. r = 5 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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