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The school needs to buy sand for the sandpit. 2.3.1 Calculate the area of the sandpit in m2, correct to 1 decimal place. Use the formula: Area = πr2. 2.3.2 If one bag of sand covers 0,5 m2, how many bags do they need to buy?

Mathematics

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Answer

Calculated Area in m2\text{Calculated Area in m}^2

Calculated Number of Bags\text{Calculated Number of Bags}

Step-by-step solution

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To solve questions 2.3.1 and 2.3.2, the radius (rr) of the sandpit is needed, but it is not provided in the image. Below are the steps to solve the problems once the radius is known.

2.3.1: Calculate the area of the sandpit

  1. Identify the given formula and value for π\pi.

    The formula for the area of the sandpit is given as:

    Area=πr2\text{Area} = \pi r^2

    The value of π\pi to use is 3.142.

  2. Substitute the value of the radius (rr) into the formula.

    Once the radius (rr) is known, substitute its value into the formula. For example, if r=Xr = X meters:

    Area=3.142×(X)2 m2\text{Area} = 3.142 \times (X)^2 \text{ m}^2

  3. Calculate the area and round to one decimal place.

    Perform the multiplication and then round the final answer to one decimal place.

    Area=Calculated Area in m2\text{Area} = \boxed{\text{Calculated Area in m}^2}

    (Note: The calculation cannot be completed without the value of rr.)

    2.3.2: Calculate the number of bags needed

  4. Identify the area covered by one bag of sand.

    One bag of sand covers 0.5 m20.5 \text{ m}^2.

  5. Use the area calculated in 2.3.1 to find the total number of bags.

    Divide the total area of the sandpit (from 2.3.1) by the area covered by one bag.

    Number of bags=Total Area of sandpit0.5 m2\text{Number of bags} = \frac{\text{Total Area of sandpit}}{0.5 \text{ m}^2}

    For example, if the Total Area was Y m2Y \text{ m}^2:

    Number of bags=Y0.5\text{Number of bags} = \frac{Y}{0.5}

  6. Calculate the number of bags.

    Perform the division. Since you cannot buy a fraction of a bag, you would typically round up to the nearest whole number if the result is not an integer.

    Number of bags=Calculated Number of Bags\text{Number of bags} = \boxed{\text{Calculated Number of Bags}}

    (Note: This calculation depends on the area from 2.3.1, which cannot be determined without the radius rr.)

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