Question

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) square miles check answer remaining attempts: 2

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the given values into the formula

Given \(r = 2.1\) miles and \(\pi=3.14\). Then \(A=3.14\times(2.1)^{2}\). First, calculate \((2.1)^{2}=2.1\times2.1 = 4.41\).

Step3: Calculate the final value of the area

Now, \(A = 3.14\times4.41\). \(3.14\times4.41=(3 + 0.14)\times4.41=3\times4.41+0.14\times4.41=13.23+0.6174 = 13.8474\approx13.85\)

Answer:

\(13.85\) square miles