What is the area of a circle with a radius of 2.1 miles? Estimate the area to the hundredths place using 3.14 for π (1 point)
Yep it 13.85.
The formula to calculate the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Using the given radius of 2.1 miles and π = 3.14, we can substitute these values into the formula:
A = 3.14 * (2.1)^2
Calculating this:
A = 3.14 * 4.41
A ≈ 13.8534
Rounding to the hundredths place:
A ≈ 13.85
Therefore, the estimated area of a circle with a radius of 2.1 miles is 13.85 square miles.
To find the area of a circle, you can use the formula: A = πr^2, where A represents the area and r represents the radius of the circle.
Given that the radius of the circle is 2.1 miles and using π = 3.14, we can substitute the values into the formula and calculate the area step-by-step.
Step 1: Square the radius:
r^2 = 2.1^2
r^2 = 4.41
Step 2: Multiply the squared radius by π:
A = 4.41 * 3.14
Step 3: Calculate the area:
A = 13.8234
Step 4: Round the area to the hundredths place:
A ≈ 13.82 square miles
Therefore, the area of the circle with a radius of 2.1 miles, estimated to the hundredths place, is approximately 13.82 square miles.
To find the area of a circle, you can use the formula A = πr², where A represents the area and r represents the radius of the circle.
In this case, the radius of the circle is given as 2.1 miles, and you've been asked to estimate the area to the hundredths place using 3.14 for π.
Let's plug in the given values into the formula:
A = 3.14 * (2.1)²
First, let's square the radius:
A = 3.14 * 4.41
Now, let's calculate the area by multiplying 3.14 by 4.41:
A = 13.814
To estimate the area to the hundredths place, you need to round the value. Looking at the digit to the right of the hundredths place, which is 1, you can see that it is less than 5. Therefore, the digit in the hundredths place remains unchanged. Hence, the estimated area of the circle is 13.81 square miles.