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

Question

2 years ago

5

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.

Mathematics

2 answers:

Jlenok [28] · Answer 1 · 2022-10-17T03:29:58+03:00

Jlenok [28]2 years ago

5 0

61% IS CORRECT BROVO TO GUY ABOVE

mina [271] · Answer 2 · 2022-10-17T01:01:48+03:00

Answer:

61%

Step-by-step 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%.