- #1

ELLE_AW

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## Homework Statement

__Calculate the circumference (including uncertainty) of a circle whose measured radius is r=7.3 ± 0.2cm.__

**2.Relevant equations & 3.The attempt at a solution**

- Circumference of circle --> C = 2πr = 2π7.3 =

__45.87 cm__

- Exact constant error propagation --> z = kx

- Limit Error --> δz = kδx

- Therefore, δC = 2π(0.2 cm) =

__1.257 cm__

Final Answer =

**46 ± 1 cmOR Should I be going about it like this:**

- Circumference of circle --> C = 2πr = 2π7.5 = 47.124 cm = 47 cm

- Circumference of a circle --> C = 2πr = 2π7.1 = 44.611 cm = 45 cm

- Final Answer

Also, my final answer has the correct significant figures right?

- Circumference of circle --> C = 2πr = 2π7.5 = 47.124 cm = 47 cm

- Circumference of a circle --> C = 2πr = 2π7.1 = 44.611 cm = 45 cm

- Final Answer

**46 ± 1 cm**I was discussing this with someone else. I did it the first way and they did it the second way.Also, my final answer has the correct significant figures right?