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A circular table top has a radius of 24 inches.

What is the area of the table top, to the nearest square inch? Use 3.14 for π.

A. 75 in.²
B. 151 in.²
C. 1809 in.²
D. 7235 in.²

Sagot :

GinnyAnswer
To find the area of a circular table top, we use the formula for the area of a circle:

[tex]\[ \text{Area} = \pi \times \text{radius}^2 \][/tex]

Given:
- The radius of the table top is 24 inches,
- The value of [tex]\(\pi\)[/tex] is 3.14.

Now, substitute the given values into the formula:

[tex]\[ \text{Area} = 3.14 \times (24)^2 \][/tex]

First, compute [tex]\( 24^2 \)[/tex]:

[tex]\[ 24^2 = 24 \times 24 = 576 \][/tex]

Then, multiply this result by 3.14:

[tex]\[ \text{Area} = 3.14 \times 576 = 1808.64 \][/tex]

To the nearest square inch, this value rounds to:

[tex]\[ \text{Area} \approx 1809 \, \text{square inches} \][/tex]

Therefore, the area of the table top is:

[tex]\[ \boxed{1809 \, \text{in}^2} \][/tex]
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