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Mathematics

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Answer

49π cm2\text{49}\pi \text{ cm}^2

Step-by-step solution

2 steps

The question is poorly worded, but based on the numerical information provided and the request to leave the answer in terms of π\pi, we will assume the question is asking for the area of a circular surface with a radius of 7 cm7 \text{ cm}. We will interpret "The radius of a circular surface of a dining table is a circular dish of radius 7cm" to mean that the radius of the circular dining table is 7 cm7 \text{ cm}. The phrase "is the space not occupied by the dish?" is then interpreted as asking for the area of this table.

  1. Identify the radius of the circular surface.

    The given radius is r=7 cmr = 7 \text{ cm}.

  2. Calculate the area of the circular surface.

    The formula for the area of a circle is A=πr2A = \pi r^2.
    Substitute the given radius into the formula:

    A=π(7 cm)2A = \pi (7 \text{ cm})^2 A=49π cm2A = 49\pi \text{ cm}^2

    The area of the circular surface is 49π cm249\pi \text{ cm}^2.

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