Question

find the circumference and area of the adjacent circle. use the π key for π. the circumference of the circle is approximately 100.5 in (type an integer or decimal rounded to the nearest tenth as needed.) the area of the circle is approximately (type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Recall circle - circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $r$ is the radius of the circle. Given $r = 16$ inches, we substitute $r$ into the formula: $C=2\pi\times16 = 32\pi$. Using the $\pi$ key on the calculator, $C\approx32\times3.14159 = 100.53088\approx100.5$ inches.

Step2: Recall circle - area formula

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 16$ into the formula: $A=\pi\times16^{2}=\pi\times256$. Using the $\pi$ key on the calculator, $A = 256\pi\approx256\times3.14159=804.24704\approx804.2$ square - inches.

Answer:

The area of the circle is approximately $804.2$ in²