Question

Choose a round table that is the correct size to fit six people make it a math equation

Answer 1

To determine the correct size for a round table that can comfortably fit six people, we can use the idea of the table circumference and how much space each person needs.

A commonly suggested space per person at a round table is about 24 inches (2 feet) for comfortable seating. Therefore, for six people, the total space needed can be calculated as:

\[
\text{Total Space} = \text{Number of People} \times \text{Space per Person}
\]

Substituting the values:

\[
\text{Total Space} = 6 \text{ people} \times 2 \text{ feet/person} = 12 \text{ feet}
\]

Since the circumference \( C \) of a circle (the round table) is given by the equation:

\[
C = \pi d
\]

where \( d \) is the diameter of the table, we can set the circumference equal to the total space needed:

\[
\pi d = 12 \text{ feet}
\]

Now we can solve for \( d \):

\[
d = \frac{12 \text{ feet}}{\pi} \approx \frac{12}{3.14} \approx 3.82 \text{ feet}
\]

Therefore, the diameter of the round table should be approximately \( 3.82 \) feet or roughly \( 46 \) inches to comfortably fit six people.

### Summary Equation:
\[
d = \frac{2 \text{ people} \times 6}{\pi} \approx 3.82 \text{ feet}
\]