Find the approximate circumference of a circle with a radius of 9.

Understand the Problem

The question is asking to calculate the circumference of a circle given its radius. The formula for the circumference is C = 2πr, where r is the radius.

Answer

The approximate circumference is $56.52$ in.

Steps to Solve

Identify the formula for circumference The formula to calculate the circumference $C$ of a circle is given by:

$$ C = 2\pi r $$

where $r$ is the radius of the circle.

Substitute the radius into the formula In this case, the radius $r$ is given as 9. Substitute this value into the formula:

$$ C = 2\pi(9) $$

Calculate the circumference Now, perform the multiplication:

$$ C = 18\pi $$

Approximate the value of π Using the approximation $\pi \approx 3.14$, we can find the value of the circumference:

$$ C \approx 18 \times 3.14 $$

Final calculation Now, calculate the product:

$$ C \approx 56.52 $$

The approximate circumference of the circle is $56.52$ in.

More Information

The circumference is a key measure in geometry that represents the distance around a circle. Knowing the radius allows you to easily find the circumference using the formula.

Tips

Confusing the diameter with the radius: Remember, the radius is half of the diameter.
Not using the correct value of $\pi$: Always approximate $\pi$ accurately, using $3.14$ or $3.14159$ as needed.

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