A circular metal tank has a radius of 20 in. If a lid made for tank has the same radius, find the area of the lid in square feet. Use the rules for working with measurements. A) The area is 34.9 ft ². B) The area is 8.73 ft ². C) The area is 1,260 ft ². D) The area is 4.36 ft ². E) The area is 17.5 ft ².

Question

Quizplus · Accepted Answer

The area of a circle is calculated using the formula $A = \pi r^2$, where $r$ is the radius. First, convert the radius from inches to feet by dividing by 12 (since there are 12 inches in a foot), giving $20 \, \text{in} = \frac{20}{12} \, \text{ft} = \frac{5}{3} \, \text{ft}$. Then, calculate the area: $A = \pi \left(\frac{5}{3}\right)^2 = \frac{25}{9}\pi \, \text{ft}^2$. Using $\pi \approx 3.14$, the area is approximately $A \approx 3.14 \times \frac{25}{9} \approx 8.73 \, \text{ft}^2$.

A Circular Metal Tank Has a Radius of 20 In If