Level:
Project ID:
1103077202
Accepted:
1
Clonable:
0
Easy:
0
Let \( ABCDEF \) be a regular hexagon. Six circles of equal radii are drawn touching each other with their centres at the hexagon vertices (see the picture). Calculate the area of the coloured region inside the hexagon if you know that the perimeter of the hexagon \( ABCDEF \) is \( 36\,\mathrm{cm} \). Round the result to two decimal places.
\( 36.98\,\mathrm{cm}^2 \)
\( 93.53\,\mathrm{cm}^2 \)
\( 65.26\,\mathrm{cm}^2 \)
\( 25.37\,\mathrm{cm}^2 \)