Question

Which ratios approximate pi ​(​)?

Select all the ratios that approximate pi ​(​).
A.
​66:21
B.
​60:20
C.
​21:7
D.
​45:15
E.
​22:7

Answer 1

9514 1404 393

Answer:

A: 66/21

E: 22/7

Explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

A: 66/21 = 22/7 = 3 1/7

B: 60/20 = 3

C: 21/7 = 3

D: 45/15 = 3

E: 22/7 = 3 1/7

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Comment on pi approximations

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.