Gina is adding a lace border to a circular pillow. The radius of the pillow is 8 inches, and she needs to decide how much lace to buy. Which length represents the least amount she can buy?
1) 26 inches 2) 51 inches
3) 101 inches 4) 202 inches
p=2pir
p=2pi8
p=16pi
p=50.2
I would pick 2) 51 inches
Is this correct?
Thanks for checking my work
Right.
I will guess the length of the lace shall be larger than 51. It shall be larger than twice of the circumference. So I would say (3) 101.
Actually, your calculations are correct. The formula for the circumference of a circle is C = 2πr, where r is the radius. In this case, the radius is 8 inches, so the circumference will be 2π(8) = 16π inches. Since π is approximately 3.14159, the circumference is approximately 16(3.14159) = 50.26544 inches.
Therefore, the closest option is 2) 51 inches. So your answer is correct.
Your calculations are correct! The formula for the circumference of a circle is indeed C = 2πr, where C represents the circumference and r represents the radius of the circle.
In this case, the radius of the circular pillow is given as 8 inches. Plugging this value into the formula, we get:
C = 2π(8)
C ≈ 16π
Approximating the value of π as 3.14, we can calculate the approximate circumference:
C ≈ 16 × 3.14
C ≈ 50.24
Among the given choices, the length that represents the least amount of lace Gina can buy is 51 inches (option 2). Therefore, you are correct in choosing option 2 as the answer.
Well done with your solution!