Multiple choice

If the four equal circles of diameter is 6 meter touch each other externally, then find the area of the region bounded by the four circles.

  1. (35 - 9π) m2

  2. (36 - 8π) m2

  3. (36 - 9π) m2

  4. (25 - 9π) m2

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When four equal circles (diameter 6m, so radius 3m) touch each other externally, their centers form a square of side 6m. The area bounded by the circles is the area of this square minus the four quarter-circles (which together form one full circle). Square area = 36 m², Circle area = π × 3² = 9π m². Therefore, bounded region area = 36 - 9π m².

Keep practicing — related questions