Zaymiey

📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Angle between a tangent and a chord drawn from the point of tangency:

Answer: Equals the inscribed angle in alternate segment.

  • A Equals the inscribed angle in alternate segment
  • B Is typically assumed to be 90°, mistaking it for the radius-tangent angle
  • C Is typically assumed to be 45°, assuming the chord bisects the tangent angle
  • D Equals the central angle subtended by the same chord

Correct answer: A. Equals the inscribed angle in alternate segment

Explanation: Tangent-chord angle = inscribed angle in alternate segment (alternate segment theorem).

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 →