To find: the ratio of the areas of two regular hexagons with sides
Answer to Problem 7PSA
The ratio of the areas of two regular hexagons is
Explanation of Solution
Given Information:
Side of 1st hexagon
Side of 2nd hexagon
Formula used:
Area of a regular hexagon
Here, a is the side of a regular hexagon
Calculation:
We know that, Area of a regular hexagon
In the 1st regular hexagon, side ( a1 ) = 2.
In (i), take
Area of the 1st hexagon
In the second regular hexagon, side ( a2 ) = 8.
In (i), take
Area of the 2nd hexagon
Ratio of areas of two hexagons
Hence, the ratio of areas of the regular hexagons is
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