Question

estimate values of expressions with pi practice
complete this assessment to review what youve learned. it will not count toward your grade.
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 : 3

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.

Step2: Substitute the given values into the formula

Given \(r = 2.1\) miles and \(\pi=3.14\). First, calculate \(r^{2}\): \(r^{2}=(2.1)^{2}=2.1\times2.1 = 4.41\). Then, \(A = 3.14\times4.41\).

Step3: Perform the multiplication

\(3.14\times4.41=(3 + 0.14)\times4.41=3\times4.41+0.14\times4.41=13.23+0.6174 = 13.8474\).

Answer:

\(13.85\) square miles