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Chapter 13: Q45. (page 707)

Find the area of regular hexagon with point O as its center.

Short Answer

Expert verified

The area of regular hexagon is93.5sq. units.

Step by step solution

01

Step 1. Write down the given information.

The given regular hexagon ABCDEF is reconstructed and shown below having given side BC=6.

02

Step 2. Concept used.

A regular hexagon comprises of six equilateral triangles, whose area is given as:

Area of regular hexagon=634a2, where a is the side of regular hexagon.

03

Step 3. Calculation.

Evaluating the area of given regular hexagon of given side BC=6, by the concept stated above.

Areaofregularhexagon=634a2=63462=93.5sq.units

Hence, the area of regular hexagon is 93.5sq. units.

04

Step 4. Conclusion.

The area of regular hexagon is 93.5sq. units.

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