If I had a placemat 15 inches in diameter how many yards of rope would I need?

Answer 1

To determine the length of rope needed to cover a circular placemat with a diameter of 15 inches, you need to calculate the circumference of the circle, which will be the length of the rope needed to wrap around it once.

The formula for the circumference

𝐶

C of a circle is:

𝐶

=

𝜋

×

𝑑

C=π×d

where

𝑑

d is the diameter. Given

𝑑

=

15

d=15 inches, we get:

𝐶

=

𝜋

×

15

≈

47.12

 inches

C=π×15≈47.12 inches

To convert this into yards (since there are 36 inches in a yard):

47.12

 inches

×

(

1

 yard

36

 inches

)

≈

1.31

 yards

47.12 inches×(

36 inches

1 yard

​

)≈1.31 yards

Therefore, you would need approximately 1.31 yards of rope to wrap around a 15-inch diameter placemat once. If you need more coverage or specific wrapping patterns, let me know!