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Given the radius r = 1.4 m.

Mathematics

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Here's how to find the perimeter and area of the circular hall:

  1. Calculate the perimeter (circumference) of the circular hall.

    The formula for the circumference of a circle is C=2πrC = 2\pi r.
    Given the radius r=1.4 mr = 1.4 \text{ m}.

    C=2×π×1.4 mC = 2 \times \pi \times 1.4 \text{ m} C=2.8π mC = 2.8\pi \text{ m}

    Using π≈3.14159\pi \approx 3.14159:

    C≈2.8×3.14159 mC \approx 2.8 \times 3.14159 \text{ m} C≈8.796452 mC \approx 8.796452 \text{ m}

    Rounding to two decimal places:

    C≈8.80 mC \approx \boxed{\text{8.80 m}}
  2. Calculate the area of the circular hall.

    The formula for the area of a circle is A=πr2A = \pi r^2.
    Given the radius r=1.4 mr = 1.4 \text{ m}.

    A=π×(1.4 m)2A = \pi \times (1.4 \text{ m})^2 A=π×1.96 m2A = \pi \times 1.96 \text{ m}^2 A=1.96π m2A = 1.96\pi \text{ m}^2

    Using π≈3.14159\pi \approx 3.14159:

    A≈1.96×3.14159 m2A \approx 1.96 \times 3.14159 \text{ m}^2 A≈6.1575244 m2A \approx 6.1575244 \text{ m}^2

    Rounding to two decimal places:

    A≈6.16 m2A \approx \boxed{\text{6.16 m}^2}
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