The radius of a circle is 5 m. 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 5 meters, expressing the answer in terms of pi. The circumference formula is C = 2πr, where r is the radius.
Answer
The circumference of the circle is \( C = 10\pi \, \text{m} \).
Answer for screen readers
The circumference of the circle is ( C = 10\pi , \text{m} ).
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
Given that the radius ( r ) is 5 meters, substitute 5 for ( r ):
$$ C = 2 \pi (5) $$
- Calculate the circumference
Now, multiply:
$$ C = 10 \pi $$
- Write the final answer
Since the problem requires the answer in terms of ( \pi ):
$$ C = 10\pi , \text{m} $$
The circumference of the circle is ( C = 10\pi , \text{m} ).
More Information
The circumference gives you the distance around the circle. Here, using ( \pi ) presents the answer in its exact form, which is often preferred in mathematics.
Tips
- Forgetting to multiply by 2 when applying the formula.
- Confusing the radius (5 m) with the diameter (which would be 10 m).
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