What is the approximate area of the circle shown below?
Check the final answer first, then review the worked steps.
Problem
What is the approximate area of the circle shown below?
Step-by-step solution
The image shows a circle with a diameter of 80 inches. The radius is half the diameter, so $r = 40$ inches. The area of a circle is given by the formula $A = \pi r^2$. Substituting the radius, $A = \pi (40)^2 = 1600\pi$. Using the approximation $\pi \approx 3.14159$, the area is $A \approx 1600 \times 3.14159 \approx 5026.544$ square inches.
Answer
$5027 \text{ in}^2$