The diameter of a circle is 4 in. Find its circumference in terms of π.
Understand the Problem
The question is asking to calculate the circumference of a circle given its diameter, specifically in terms of pi. The formula for the circumference (C) of a circle is C = πd, where d is the diameter.
Answer
The circumference is \(C = 4\pi\) in.
Answer for screen readers
The circumference of the circle is (C = 4\pi) in.
Steps to Solve
- Identify the given diameter
The diameter of the circle is given as (d = 4) in.
- Use the circumference formula
The formula for the circumference (C) of a circle is given by: $$ C = \pi d $$
- Substitute the diameter into the formula
Now, substitute the value of the diameter into the formula: $$ C = \pi \times 4 $$
- Simplify the expression
Simplifying this gives: $$ C = 4\pi $$
The circumference of the circle is (C = 4\pi) in.
More Information
The circumference of a circle relates directly to its diameter through the constant (\pi). This problem emphasizes understanding how to apply the formula for circumference in practical situations.
Tips
- Forgetting to use (\pi): Some may mistakenly provide a numerical value instead of a term involving (\pi).
- Incorrect diameter substitution: Make sure to use the exact diameter provided in the problem.
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