2017 · Q78
Three circles each of radius 3.5 cm touch one another. The area subtended between them is
Elementary MathematicsMensuration
- A6(√(3)π-2) square units
- B6(2π-√(3)) square units
- C49/8(2√(3)-π) square units
- D49/8(√(3)-π) square units
Explanation
The centers form an equilateral triangle of side 7 cm. Gap area = triangle − 3 sectors of 60° = (√3/4)·49 − 3·(1/6)·π·3.5² = 49√3/4 − 49π/8 = (49/8)(2√3 − π): option C.