Zaymiey

📐 Mathematics  ·  Circles & Mensuration  ·  JEE

A sector of a circle with radius r and central angle theta (radians) has area:

Answer: (1/2)r² theta.

  • A r × theta
  • B (1/2)r² theta
  • C 2r theta
  • D r² theta

Correct answer: B. (1/2)r² theta

Explanation: Area of sector = (1/2)r²θ where θ is in radians.

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 →