Question

what is the area of the following circle? either enter an exact answer in terms of \\(\pi\\) or use 3.14 for \\(\pi\\) and enter your answer as a decimal. \\(r = 4\\)

Explanation:

Step1: Recall circle area formula

The area of a circle is given by $A = \pi r^2$, where $r$ is the radius.

Step2: Substitute radius $r=4$

$A = \pi (4)^2 = 16\pi$

Step3: Calculate decimal approximation

Using $\pi=3.14$, $A = 16 \times 3.14 = 50.24$

Answer:

Exact answer: $16\pi$ units$^2$
Decimal approximation: $50.24$ units$^2$