Multiple choice general knowledge math & puzzles

A cone made of cardboard has a vertical height of 8 cm and a radius of 6 cm. If this cone is cut along the slanted height to make a sector, what is the central angle, in degrees, of the sector?

  1. 216

  2. 180

  3. 90

  4. 36

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Slant height l = √(r² + h²) = √(6² + 8²) = √(36 + 64) = √100 = 10cm. Sector radius = 10cm, arc length = 2πr = 12π. Central angle = (arc length / radius) × (360/2π) = (12π/10) × (180/π) = 216°.