Question

find the circumference and area of the adjacent circle. use the π key for π. the circumference of the circle is approximately (square) in (type an integer or decimal rounded to the nearest tenth as needed )

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is $C = 2\pi r$, where $r$ is the radius of the circle. Given $r = 16$ in.
$C=2\pi\times16 = 32\pi$ in.

Step2: Calculate the numerical value of the circumference

Using the $\pi$ - key on a calculator, $C\approx32\times3.14159 = 100.53088\approx100.5$ in.

Step3: Recall the formula for area

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 16$ in.
$A=\pi\times16^{2}=\pi\times256 = 256\pi$ in$^{2}$.

Step4: Calculate the numerical value of the area

Using the $\pi$ - key on a calculator, $A\approx256\times3.14159=804.24704\approx804.2$ in$^{2}$.

Answer:

The circumference of the circle is approximately $100.5$ in.
The area of the circle is approximately $804.2$ in$^{2}$.