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Each side of a regular hexagon is 9.6 cm...

Each side of a regular hexagon is 9.6 cm. Find its perimeter. 

A

57.6 sq. cm

B

1.6 sq. cm

C

1.6 cm

D

57.6 cm

Text Solution

AI Generated Solution

The correct Answer is:
To find the perimeter of a regular hexagon where each side measures 9.6 cm, follow these steps: ### Step-by-Step Solution: 1. **Understand the properties of a regular hexagon**: A regular hexagon has six equal sides. 2. **Identify the length of one side**: The length of each side is given as 9.6 cm. 3. **Use the formula for the perimeter of a hexagon**: The formula for the perimeter (P) of a regular hexagon is: \[ P = 6 \times \text{side length} \] 4. **Substitute the value of the side length into the formula**: \[ P = 6 \times 9.6 \, \text{cm} \] 5. **Calculate the perimeter**: \[ P = 57.6 \, \text{cm} \] 6. **Conclusion**: The perimeter of the regular hexagon is 57.6 cm.
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Knowledge Check

  • Each side of a regular hexagon is 3.5cm long. The perimeter of the given polygon is

    A
    17.5 cm
    B
    21 cm
    C
    18.3 cm
    D
    20 cm

  • Each side of a regular hexagon is 1 cm. The area of the hexagon is

    A
    `(3sqrt(3))/(2)cm^(2)`
    B
    `(3sqrt(3))/(4) cm^(2)`
    C
    `4sqrt(3) cm^(2)`
    D
    `3sqrt(2) cm^(2)`

  • If each side of a regular pentagon is 1 cm, find the length of its diagonal.

    A
    A)`root(5)(2-3)/2`
    B
    B)`-1+sqrt5/2`
    C
    C)`(1+sqrt5)/2`
    D
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