Answer :
To approximate the area of a circle with a given radius, we will follow these steps:
1. Identify the formula for the area of a circle:
The formula for the area \( A \) of a circle is given by:
[tex]\[ A = \pi r^2 \][/tex]
where \( \pi \) is a constant approximately equal to 3.14, and \( r \) is the radius of the circle.
2. Substitute the given values into the formula:
Given:
[tex]\[ r = 2.2 \, \text{m} \][/tex]
Using \( \pi \approx 3.14 \), we substitute these values into the formula:
[tex]\[ A = 3.14 \times (2.2)^2 \][/tex]
3. Calculate the square of the radius:
[tex]\[ (2.2)^2 = 2.2 \times 2.2 = 4.84 \][/tex]
4. Multiply by \(\pi\) to find the area:
[tex]\[ A = 3.14 \times 4.84 \][/tex]
When multiplying these values, we get:
[tex]\[ A \approx 15.1976 \, \text{m}^2 \][/tex]
5. Round the result to the nearest tenth:
To round \( 15.1976 \) to the nearest tenth, we look at the digit in the hundredths place (9). Since it is 5 or greater, we round up the tenths place.
[tex]\[ 15.1976 \approx 15.2 \][/tex]
Therefore, the approximate area of the circle is:
[tex]\[ A \approx 15.2 \, \text{m}^2 \][/tex]
1. Identify the formula for the area of a circle:
The formula for the area \( A \) of a circle is given by:
[tex]\[ A = \pi r^2 \][/tex]
where \( \pi \) is a constant approximately equal to 3.14, and \( r \) is the radius of the circle.
2. Substitute the given values into the formula:
Given:
[tex]\[ r = 2.2 \, \text{m} \][/tex]
Using \( \pi \approx 3.14 \), we substitute these values into the formula:
[tex]\[ A = 3.14 \times (2.2)^2 \][/tex]
3. Calculate the square of the radius:
[tex]\[ (2.2)^2 = 2.2 \times 2.2 = 4.84 \][/tex]
4. Multiply by \(\pi\) to find the area:
[tex]\[ A = 3.14 \times 4.84 \][/tex]
When multiplying these values, we get:
[tex]\[ A \approx 15.1976 \, \text{m}^2 \][/tex]
5. Round the result to the nearest tenth:
To round \( 15.1976 \) to the nearest tenth, we look at the digit in the hundredths place (9). Since it is 5 or greater, we round up the tenths place.
[tex]\[ 15.1976 \approx 15.2 \][/tex]
Therefore, the approximate area of the circle is:
[tex]\[ A \approx 15.2 \, \text{m}^2 \][/tex]
