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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

2 Answers

6 votes

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.

User XueYuan Wang
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7.3k points
4 votes

Answer: Fourth option is correct.

Explanation:

Since we have given that

Side of a square = 11 units

Perimeter of square =
4* side=4* 11=44\ units

According to question, we have

Circumference of circle = Perimeter of square


2\pi r=44\\\\\pi r=22\\\\3.14* r=22\\\\r=(22)/(3.14)=7.01

So, Area of circle would be


\pi r^2\\\\=3.14* 7.01* 7.01\\\\=154.29

Hence, Fourth option is correct.

User Denim Demon
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7.5k points