What is the approximate area of the circle shown below?
Check the final answer first, then review the worked steps.
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
$5027 \text{ in}^2$