1

Problem

Find the area of a regular hexagon of side 9cm.

2

Step

Given side is

a = 9 cm

3

Formula

The area (A) of a regular hexagon can be calculated using the formula: A = \$(3 \sqrt(3))/2 (a)^2\$

4

Step

Plug the values into the formula:

A = \$(3 \sqrt(3))/2 (9)^2\$

5

Step

After Simplify the equation:

A = \$(3 \sqrt(3) \times 81)/2\$

A = \$(243 \sqrt(3))/2\$

6

Step

Now, calculate the numerical value of \$\sqrt(3)\$ is:

1.732

7

Step

Substitute \$\sqrt(3)\$ value into the equation:

A = \$(243 \times 1.732)/2\$

A = \$(420.876)/2 = 210.44\$

8

Solution

So the area of the regular hexagon is \$210.44 cm^2\$.

9

Sumup

Please summarize steps

Choices

10

Choice-A

This is the correct option because it accurately represents the area of a regular hexagon with a side length of 9 cm

Correct \$210.44 cm^2\$

11

Choice-B

This is far too small. It seems like a calculation error

Wrong \$20.44 cm^2\$

12

Choice-C

This is close but still a bit off. It’s not a precise calculation using the formula

Wrong \$200.44 cm^2\$

13

Choice-D

This is the incorrect option. The answer is too small, which indicates a miscalculation

Wrong \$201.44 cm^2\$

14

Answer

Option

A

15

Sumup

Please summarize choices