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El área de una mesa circular de radio [tex]$r$[/tex] se obtiene con la fórmula [tex]$A = \pi r^2$[/tex]. Manuel quiere construir una mesa con un radio de 10 pulgadas. ¿Cuántas pulgadas cuadradas tendrá la mesa?

A) 314
B) 100
C) 62.8
D) 31.4

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:

  1. Substitute the radius [tex]r = 10[/tex] into the formula:
    [tex]A = \pi \times (10)^2[/tex]

  2. Calculate [tex](10)^2[/tex]:
    [tex](10)^2 = 100[/tex]

  3. Substitute this back into the equation:
    [tex]A = \pi \times 100[/tex]

  4. 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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