Question
Find the area of a regular hexagon if its side is
two-fifths the side of a square with perimeter 100 cm.Solution
ATQ,
Side of square = (100/4) = 25 cm
Side of regular hexagon = (2/5) × 25 = 10 cm
Area of regular hexagon = 6 × (√3/4) × side²
= 6 × (√3/4) × 10²
= 6 × (√3/4) × 100
= 150√3 cm²
7, 26, 238, 962, 8522, 34078
12                          13                         30                     �...
14Â Â Â 42Â Â Â Â 105Â Â Â Â 210Â Â Â Â Â 315Â Â Â ?
8      24       48      144      ?     864
...Find sum of first n terms: 2 + 6 + 12 + 20 + 30 + …
6Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â 24Â Â Â Â Â Â Â Â Â Â Â 218Â Â Â Â Â Â Â Â Â 3486Â Â Â Â Â Â Â 43575
10      �...
Which of the following is true about the relation between the wrong numbers in the following series?
I: 10, 18, 29, 40, 54, 70
II: 15, 24,...
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
4 7 6
15 ? 21
44 68 60
100Â Â Â Â 221Â Â Â Â 77Â Â Â Â 245Â Â Â Â 50Â Â Â 275
22   39    58    81   ?      141