Approximate the area of a circle with the given radius. Use [tex]\(\pi \approx 3.14\)[/tex] and round the result to the tenths place. (Use the formula [tex]\(A=\pi r^2\)[/tex].)

Given:
[tex]\(r = 1.2 \, \text{m}\)[/tex]



Answer :

To approximate the area of a circle given the radius, we can use the formula:

[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.

Given:
[tex]\[ r = 1.2 \, \text{meters} \][/tex]

We substitute the given radius and the approximation for [tex]\( \pi \)[/tex] into the formula:

[tex]\[ A = 3.14 \times (1.2)^2 \][/tex]

First, we calculate [tex]\( (1.2)^2 \)[/tex]:

[tex]\[ (1.2)^2 = 1.44 \][/tex]

Next, we multiply this result by 3.14:

[tex]\[ A = 3.14 \times 1.44 \][/tex]

Performing the multiplication:

[tex]\[ A = 4.5216 \, \text{square meters} \][/tex]

Now, we need to round this result to the tenths place. The digit in the hundredths place (2 in this case) is less than 5, so we round down:

[tex]\[ A \approx 4.5 \, \text{square meters} \][/tex]

Therefore, the approximate area of the circle is 4.5 square meters when rounded to the tenths place.