The radius of a circle is 12 cm. Find its circumference in terms of π.
Understand the Problem
The question is asking to calculate the circumference of a circle with a radius of 12 cm, expressing the result in terms of π. The formula for circumference is 2πr, where r is the radius.
Answer
The circumference is \( C = 24\pi \) cm.
Answer for screen readers
The circumference of the circle is ( C = 24\pi ) cm.
Steps to Solve
-
Identify the formula for circumference
The formula for the circumference of a circle is given by:
$$ C = 2\pi r $$
where ( C ) is the circumference and ( r ) is the radius. -
Substitute the radius into the formula
The radius ( r ) is given as 12 cm. Substituting this value into the formula:
$$ C = 2\pi(12) $$ -
Calculate the circumference
Now, multiply the values:
$$ C = 24\pi $$
This result expresses the circumference in terms of ( \pi ).
The circumference of the circle is ( C = 24\pi ) cm.
More Information
The circumference represents the distance around the circle. When expressing it in terms of ( \pi ), it allows for exact values without using an approximate decimal for ( \pi ). This is useful in mathematical contexts where precision is important.
Tips
- Forgetting to multiply the radius by 2 when using the formula ( C = 2\pi r ).
- Confusing the radius with the diameter, which is twice the radius.
- Not expressing the final answer in terms of ( \pi ) when required.
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