A circle has a diameter of 32 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for π.
Understand the Problem
The question is asking to calculate the circumference of a circle given its diameter and using a specific value for pi. We will use the formula for the circumference, which is C = πd, where d is the diameter.
Answer
The circumference of the circle is $100.5$ in.
Answer for screen readers
The circumference of the circle is $100.5$ in.
Steps to Solve
- Identify the formula for circumference
The formula for the circumference $C$ of a circle is given by:
$$ C = \pi d $$
where $d$ is the diameter of the circle.
- Substitute the values
Given that the diameter $d$ is 32 inches and we will use $\pi = 3.14$, substitute these values into the formula:
$$ C = 3.14 \times 32 $$
- Calculate the circumference
Now perform the multiplication:
$$ C = 3.14 \times 32 = 100.48 $$
- Round to the nearest tenth
To round $100.48$ to the nearest tenth, look at the hundredths place (8). Since 8 is greater than 5, round up:
$$ C \approx 100.5 $$
The circumference of the circle is $100.5$ in.
More Information
The circumference of a circle is a crucial concept in geometry, representing the distance around the circle. Using $\pi$ as approximately 3.14 is common for easier calculations, although $\pi$ is an irrational number.
Tips
- Forgetting to multiply the diameter by $\pi$. Always ensure the formula is applied correctly.
- Rounding improperly. Remember to check the hundredths place properly before rounding to the nearest tenth.
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