Question

Alex wants to sew a pillow in the shape below. How many yards of thread are needed to sew the edges of the pillow? Round your answer to one decimal place. Do not include units in your answer. Note: The 0.50 yds is the diameter of the inner semicircle. 0.50 yds 0.2 yds

Answer 1

2.6

Explanation:

Answer 2

Answer: 2.6

Explanation:

To find the length of the seam along the edges of the pillow, we calculate the perimeter of the outer semicircle and add the perimeter of the inner semicircle as well as the sides. Since the length of the sides of the pillow are 0.2 yards each, the diameter of the outer circle is 0.50+0.2+0.2=0.9 yards. So, the perimeter of the outer semicircle is,

POC=12πd=12π×0.9=0.45π yds

The perimeter of the inner semicircle is

PIC=12πd=12π×0.5=0.25π yds.

The total perimeter of the pillow is

PT=0.45π+0.25π+0.2+0.2=2.599 yds

Rounded to one decimal place, Alex will need 2.6 yds of thread.