Question
6 The radlus of a nickel is 1 cm . Which is the best estimate of the circumference of the nidkel?
Ask by Curry Mcfarlane. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The circumference of the nickel is approximately 6.28 cm.
Solution
1. The formula for the circumference \( C \) of a circle is
\[
C = 2 \pi r
\]
2. Given that the radius \( r \) of the nickel is \( 1 \) cm, substitute \( r = 1 \) into the formula:
\[
C = 2 \pi \times 1 = 2 \pi
\]
3. Approximating \( \pi \) as \( 3.14 \), we get:
\[
2 \pi \approx 2 \times 3.14 = 6.28 \text{ cm}
\]
Thus, the best estimate for the circumference of the nickel is approximately \( 6.28 \) cm.
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Simplify this solution The Deep Dive
The circumference of a circle can be estimated using the formula \( C = 2\pi r \). Given that the radius of a nickel is 1 cm, we can estimate the circumference as \( C \approx 2 \times 3.14 \times 1 \) cm, which is approximately 6.28 cm. So, a good estimate for the circumference of a nickel would be about 6.3 cm! Want a little fun fact? Most people don’t think about it, but U.S. nickels are actually made from 75% copper and 25% nickel! So, it's not just a shiny coin; it's a little piece of history and chemistry in your pocket.
