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Answer :
To find the area of a circular table, you use the formula for the area of a circle:
[tex]A = \pi r^2[/tex]
where [tex]A[/tex] is the area, [tex]\pi[/tex] is a constant approximately equal to 3.14, and [tex]r[/tex] is the radius of the circle.
In this case, Manuel wants to construct a table with a radius of 10 inches. Let's plug this value into the formula:
Substitute the radius [tex]r = 10[/tex] into the formula:
[tex]A = \pi \times (10)^2[/tex]Calculate [tex](10)^2[/tex]:
[tex](10)^2 = 100[/tex]Substitute this back into the equation:
[tex]A = \pi \times 100[/tex]Use [tex]\pi \approx 3.14[/tex] to calculate the area:
[tex]A = 3.14 \times 100 = 314[/tex]
Therefore, the area of the table will be 314 square inches.
The correct answer is option A) 314.
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