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This figure represents a design that is sewn onto a blanket. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 18π square inches.

What percent of the design is solid green fabric?

Use 3.14 for π. Round your answer to the nearest whole percent.

This figure represents a design that is sewn onto a blanket. The semicircles are a-example-1
User Maliayas
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3.9k points

2 Answers

6 votes

Answer:

61%

Explanation:

I took this test and got 100% :)

User Pavel Cermak
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3.2k points
1 vote

Answer:

61%

Explanation:

Because there are 4 semicircles, 18/4=4.5, so the area of each semicircle is 4.5 pi. Therefore the area of a whole circle is 9 pi, so the radius of the circle is 3. That means the diameter of the circle, which is also the side of the square, is 6, so the area of the square is 36. Therefore the percent of the design that is green fabric is:

18pi/18pi+36

= 56.52/92.52

= about 0.611, which rounds to 61%.

User DavidStein
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3.4k points