Find the circumference of the circle to the nearest tenth. Use 3.14 for π.
Understand the Problem
The question is asking us to calculate the circumference of a circle given the radius (17 inches) and to use the value of π as 3.14 for this calculation. The result should be rounded to the nearest tenth.
Answer
$106.8$ inches.
Answer for screen readers
The circumference of the circle is $106.8$ inches.
Steps to Solve
- Identify the formula for circumference
The formula for the circumference $C$ of a circle is given by: $$ C = 2\pi r $$ where $r$ is the radius of the circle.
- Substitute the values
In this problem, the radius $r$ is 17 inches, and we are using $\pi \approx 3.14$. So, we substitute these values into the formula: $$ C = 2 \times 3.14 \times 17 $$
- Calculate the product
Perform the multiplication step by step:
- First calculate $2 \times 3.14 = 6.28$.
- Then, multiply this result by the radius: $$ C = 6.28 \times 17 $$
- Finish the calculation
Calculate $6.28 \times 17$: $$ C = 106.76 $$
- Round to the nearest tenth
Now, round 106.76 to the nearest tenth: $$ C \approx 106.8 $$
The circumference of the circle is $106.8$ inches.
More Information
The circumference provides the total distance around the circle. This calculation is significant in various fields such as engineering, architecture, and everyday measurements.
Tips
- Confusing radius and diameter: Remember that the radius is half the diameter.
- Forgetting to multiply by 2 in the formula: Ensure to use $C = 2\pi r$ correctly.
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