Question

estimate values of expressions with pi quick check
what is the area of a circle with a radius of 12 feet? estimate the area to the hundredths place using 3.14 for π. (1 point)
452.2 square feet
452.16 square feet
75.4 square feet
113.04 square feet

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 \(r = 12\) feet and \(\pi=3.14\). Then \(A=3.14\times12^{2}\). First, calculate \(12^{2}=144\).

Step3: Multiply the results

\(A = 3.14\times144\). \(3.14\times144=(3 + 0.14)\times144=3\times144+0.14\times144=432+20.16 = 452.16\)

Answer:

452.16 square feet