Question

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 π, and round your answer to the nearest hundredth.

1519.76 units2
379.94 units2
616.56 units2
154.14 units2

Answer 1

Answer: 154.14 units2

Step-by-step explanation: to find the area of the circle in the formula A = π142. However, the diameter needed to be divided by 2 to find the radius.

Answer 2

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Side of a square = 11 units

Perimeter of square = $4\times side=4\times 11=44\ units$

According to question, we have

Circumference of circle = Perimeter of square

$2\pi r=44\\\\\pi r=22\\\\3.14\times r=22\\\\r=\dfrac{22}{3.14}=7.01$

So, Area of circle would be

$\pi r^2\\\\=3.14\times 7.01\times 7.01\\\\=154.29$

Hence, Fourth option is correct.