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

User Tinno TL
by
2.8k points

2 Answers

10 votes
10 votes

Answer:

1,05

Explanation:

User VBA Pete
by
2.7k points
9 votes
9 votes

9514 1404 393

Answer:

1.05

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%

User Dhiraka
by
2.6k points