Question

A crafts worker is knitting a circular rug that has a diameter of 86 inches. He would like to put trim around the outer edge of the rug. If 1 inch = 2.54 centimeters, how many centimeters of trim would he need? Use π = 3.14 and round to the nearest centimeter.

686 centimeters
343 centimeters
135 centimeters
106 centimeters

Answer 1

The circumference of the circular rug can be calculated using the formula:

circumference = 2πr

where r is the radius of the circle. Since the diameter of the rug is given as 86 inches, the radius can be calculated as half of the diameter:

r = 86/2 = 43 inches

Converting inches to centimeters using the given conversion factor, we get:

r = 43 * 2.54 = 109.22 cm

Now, the circumference can be calculated as:

circumference = 2πr = 2 * 3.14 * 109.22 = 685.84 cm

To find the length of trim needed for the outer edge, we add 2 times the width of the trim to the circumference. Assuming the width of the trim to be 1 inch or 2.54 cm, we get:

length of trim = circumference + 2 * width of trim = 685.84 + 2 * 2.54 = 691.92 cm

Rounding to the nearest centimeter, the length of trim needed is:

692 cm (approximately)

Therefore, the answer is 692 centimeters.

Answer 2

686 centimeters

Explanation:

d= 86 inches

d=2r

86 =2r

r=43

C = 2πr

C = 2(3.14)(43) =270.04 inches

1 inch = 2.54 centimeters

270.04 (2.54) = 685.9016 centimeters ≈686 centimeters