Solve.
-Determine the area of a circular enclosure and a square enclosure made with 721 feet of fence. Use $\pi = 3.1416$
A) Circular: $41,368 \mathrm { ft } ^ { 2 }$; square: $32,490 \mathrm { ft } ^ { 2 }$
B) Circular: 28,200 ft ; square: $32,490 \mathrm { ft } ^ { 2 }$
C) Circular: 28,200 ft 2 ; square: $129,960 \mathrm { ft } ^ { 2 }$
D) Circular: $41,368 \mathrm { ft } ^ { 2 }$; square: $129,960 \mathrm { ft } ^ { 2 }$

Question

Quizplus · Accepted Answer

For the circular enclosure, the circumference (C) is equal to the total length of the fence, 721 feet. The formula for the circumference of a circle is $C = 2\pi r$, where $r$ is the radius. Solving for $r$, we get $r = \frac{C}{2\pi} = \frac{721}{2 \times 3.1416}$. Then, the area ($A$) of the circle is $A = \pi r^2$, which calculates to approximately $41,368 \mathrm{ft}^2$. For the square enclosure, each side is $\frac{721}{4}$ feet long, since the total perimeter is 721 feet. The area of a square is the side length squared, which calculates to approximately $32,490 \mathrm{ft}^2$.

Solve -Determine the Area of a Circular Enclosure and a Square

Solve
-Determine the Area of a Circular Enclosure and a Square