-
If the four equal circles of radius 3 cm touch each other externally, then the area of the region bounded by the four circles is
-
- 4(9 – π) sq.cm
- 9(4 – π) sq.cm
- 5(6 – π) sq.cm
- 6(5 – π) sq.cm
- 4(9 – π) sq.cm
Correct Option: B
Using Rule 10 and 17,
Area of the shaded region = Area of square of side
6cm – 4 × a right angled sector
= 36 - 4 × | |
4 |
= 36 - 9π = 9(4 - π)sq. cm.