Question

Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?​

Answer 1

Answer:

1,05

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

  1.05

Step-by-step explanation:

The relative errors are ...

• 1 : -4.5%
• 1.03 : -1.6%
• 1.05 : +0.3%
• 1.07 : +2.2%

Of these choices, the best approximation is 1.05.

_____

A very good rational approximation of π is 355/113, which has a relative error of about 0.0000085%. This makes 355/339 a good approximation of π/3.

The relative error in the value n is ...

  (3n/π -1) × 100%