Sarkari RiseLogin
CDS 2022 · PYQ · Mensuration · medium

What is the area of the region enclosed by three identical circles (each of radius 4 cm) touching each other?

  1. A.16√3 - 8π/3 square cm✓ Correct
  2. B.16π/√3 square cm
  3. C.16√3 - 8π square cm
  4. D.8π/3 square cm

Explanation

The triangle joining centers has side 8, area = √3/4 × 64 = 16√3. Three sectors of 60° each = (1/2)·π·16 = 8π/... total sector area = 3·(60/360)·π·16 = 8π. Enclosed area = 16√3 - 8π. Hmm matches (c)? But area between circles = triangle - 3 sectors. Each sector has 60° in triangle, total = πr²/2 = 8π. So 16√3 - 8π. Answer is (c).
💡 Practice unlimited CDS PYQs + AI-tracked progress on each topic. Sign up free →

More Mensuration questions

Want more CDS practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Mensuration practice