Which is the best estimate for 3 times pi?(1 point)

Question

Responses

647
6 Start Fraction 4 over 7 End Fraction

937
9 Start Fraction 3 over 7 End Fraction

917
9 Start Fraction 1 over 7 End Fraction

637

Answer 1

To estimate \(3 \times \pi\), we first approximate \(\pi\) as \(3.14\).

Calculating \(3 \times \pi\): \[ 3 \times 3.14 = 9.42 \]

Now, let's evaluate the given options:

1. 647
2. 6 \( \frac{4}{7} \) = \(6.5714\) (approximately)
3. 937
4. 9 \( \frac{3}{7} \) = \(9.4286\) (approximately)
5. 917
6. 9 \( \frac{1}{7} \) = \(9.1429\) (approximately)
7. 637

From the calculations above, we see that the best estimate for \(3 \times \pi\) of approximately \(9.42\) is 9 \( \frac{3}{7} \), as it is the closest to \(9.42\).

So the best estimate for \(3 \times \pi\) is: 9 \( \frac{3}{7} \).