The radius of a circle is 8.6 ft. Find the circumference to the nearest tenth.
Understand the Problem
The question is asking to calculate the circumference of a circle given its radius, specifically rounding the result to the nearest tenth.
Answer
$54.1$ ft
Answer for screen readers
The circumference of the circle is approximately $54.1$ ft.
Steps to Solve
-
Identify the formula for circumference
The circumference ( C ) of a circle can be calculated using the formula:
$$ C = 2\pi r $$
where ( r ) is the radius. -
Substitute the radius into the formula
Given that the radius ( r = 8.6 ) ft, substitute this value into the formula:
$$ C = 2\pi(8.6) $$ -
Calculate the value
Now, perform the multiplication:
$$ C \approx 2 \times 3.14 \times 8.6 $$
$$ C \approx 54.0932 $$ (using ( \pi \approx 3.14 )). -
Round the result to the nearest tenth
Finally, round ( 54.0932 ) to the nearest tenth:
$$ C \approx 54.1 , \text{ft} $$
The circumference of the circle is approximately $54.1$ ft.
More Information
The circumference helps in measuring the distance around the circle. In practical applications, knowing the circumference can help in various fields such as architecture, engineering, and construction.
Tips
- Forgetting to multiply by ( 2 \pi ).
- Using the wrong value for ( \pi ); ensure it is accurate (approximately ( 3.14 )).
- Miscalculating during multiplication or rounding.
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