Question

find the area of a circle with radius 4 ft. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given values into the formula

We are given that the radius \( r = 4\) ft and \( \pi=3.14 \). Substituting these values into the formula, we get \( A = 3.14\times(4)^{2} \).

Step3: Calculate the value of \( (4)^{2} \)

First, calculate \( 4^{2}=16 \).

Step4: Multiply to find the area

Now, multiply \( 3.14 \) by \( 16 \): \( 3.14\times16 = 50.24 \).

Answer:

The area of the circle is \( 50.24 \) square feet (or \( 50.24\space ft^{2} \)).