The diameter of a circle is 16 cm. Find its circumference in terms of π.
Understand the Problem
The question is asking to calculate the circumference of a circle based on the given diameter of 16 cm, specifically in terms of π.
Answer
$16\pi$ cm
Answer for screen readers
The circumference of the circle is $16\pi$ cm.
Steps to Solve
- Identify the Formula for Circumference
The formula to calculate the circumference ($C$) of a circle in terms of its diameter ($d$) is given by:
$$ C = \pi d $$
- Substitute the Diameter into the Formula
Given the diameter is 16 cm, substitute $d = 16$ cm into the formula:
$$ C = \pi \times 16 $$
- Simplify the Equation
Multiply the values:
$$ C = 16\pi $$
This shows that the circumference of the circle, in terms of $\pi$, is $16\pi$ cm.
The circumference of the circle is $16\pi$ cm.
More Information
The circumference of a circle represents the distance around it. Knowing it in terms of $\pi$ is useful because it keeps the answer in an exact form rather than an approximated numerical value.
Tips
Some common mistakes include:
- Using the Radius Instead of Diameter: Always ensure you are using the diameter in the formula, as $C = \pi d$ specifically refers to diameter.
- Forgetting to Use $\pi$: Sometimes students might just give a numerical answer (like 50.27) instead of the exact answer in terms of $\pi$.
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