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

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The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius.

Plugging in the given radius of 2.1 miles and using 3.14 for π, we have A = 3.14 * (2.1)^2.
Simplifying, we get A = 3.14 * 4.41 = 13.8434.

Rounding to the hundredths place, we have an estimated area of 13.84 square miles.

To find the area of a circle, you need to use the formula A = πr², where A represents the area and r represents the radius of the circle. In this case, the radius is given as 2.1 miles, and the approximation for π is 3.14.

To calculate the area, you first square the radius (2.1 miles x 2.1 miles) to get 4.41 square miles. Then, you multiply this result by the value of π (3.14) to find the area of the circle.

4.41 square miles x 3.14 ≈ 13.8164 square miles

Rounding to the hundredths place, the estimated area of the circle is approximately 13.82 square miles.

To find the area of a circle with a given radius, you can use the formula:

Area = π * r^2

where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Given that the radius is 2.1 miles, we can substitute it into the formula:

Area = 3.14 * (2.1)^2

Calculating the expression:

Area = 3.14 * 4.41

Simplifying:

Area ≈ 13.8394

Rounding to the hundredths place:

Area ≈ 13.84

Therefore, the estimated area of the circle with a radius of 2.1 miles is approximately 13.84 square miles.