Question

question 7 (multiple choice worth 1 points) (02.01r mc) a square has a side that measures 11 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for $pi$, and round your answer to the nearest hundredth 1519.76 units$^2$ 379.94 units$^2$ 616.56 units$^2$ 154.14 units$^2$

Explanation:

Step1: Calculate square perimeter

Perimeter of square: $P = 4 \times 11 = 44$ units

Step2: Set circle circumference equal to $P$

Circumference formula: $C = 2\pi r = 44$
Solve for $r$: $r = \frac{44}{2\times3.14} = \frac{22}{3.14} \approx 7.006$

Step3: Calculate circle area

Area formula: $A = \pi r^2$
$A = 3.14 \times (7.006)^2 \approx 3.14 \times 49.08 = 154.11 \approx 154.14$

Answer:

154.14 units²