A merry-go-round at an amusement park has a radius of 8 meters. Determine the circumference of the merry-go-round to the nearest tenth of a meter.
Understand the Problem
The question is asking us to calculate the circumference of a circle using the radius provided, which is 8 meters. The formula for circumference is C = 2πr where r is the radius. We will compute the value and round it to the nearest tenth of a meter.
Answer
The circumference of the merry-go-round is $50.2$ meters.
Answer for screen readers
The circumference of the merry-go-round is $50.2$ meters.
Steps to Solve
-
Identify the formula for circumference
We will use the formula for the circumference of a circle:
$$ C = 2 \pi r $$
where $r$ is the radius. -
Substitute the radius into the formula
Given that the radius $r = 8$ meters, we substitute this value into the formula:
$$ C = 2 \pi (8) $$ -
Calculate the circumference
Now calculate the circumference using the approximate value of $\pi \approx 3.14$:
$$ C = 2 \cdot 3.14 \cdot 8 $$
First, calculate $2 \cdot 3.14$:
$$ 2 \cdot 3.14 = 6.28 $$
Then multiply by 8:
$$ C = 6.28 \cdot 8 = 50.24 $$ -
Round the result to the nearest tenth
We round $50.24$ to the nearest tenth, which gives us $50.2$ meters.
The circumference of the merry-go-round is $50.2$ meters.
More Information
The formula for circumference helps calculate the distance around a circle. The value of $\pi$ is a fundamental constant in mathematics, approximately equal to 3.14, used in various formulas related to circles.
Tips
- Forgetting to multiply by 2 in the formula $C = 2\pi r$.
- Miscalculating the value of $\pi$ or neglecting to use its approximation.
- Incorrectly rounding the final result.
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