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The radius of a circular roundabout is 7 m. Determine the area enclosed by this roundabout.

Mathematics

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Answer

154 m2\text{154 m}^2

Step-by-step solution

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:
The radius of a circular roundabout is 7 m7 \text{ m}. Determine the area enclosed by this roundabout.

  1. Identify the given radius and the formula for the area of a circle.

    The roundabout is circular.
    Given radius, r=7 mr = 7 \text{ m}.
    The formula for the area of a circle is A=πr2A = \pi r^2. We will use π=227\pi = \frac{22}{7}.

  2. Substitute the radius into the area formula.

    A=227×(7 m)2A = \frac{22}{7} \times (7 \text{ m})^2
  3. Calculate the area.

    A=227×7 m×7 mA = \frac{22}{7} \times 7 \text{ m} \times 7 \text{ m} A=22×77 m×7 mA = 22 \times \frac{7}{7} \text{ m} \times 7 \text{ m} A=22×1 m×7 mA = 22 \times 1 \text{ m} \times 7 \text{ m} A=154 m2A = 154 \text{ m}^2

    The area enclosed by the roundabout is 154 m2\text{154 m}^2.

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