Question

The area of OW is 2897 m2. Find the circumference of OW.A. C= 177 mB. C = 347 mC. C = 687 mD. C=2897 m

Answer 1

The formula to find the area of a circle is

`\begin{gathered} A=\pi r^2 \\ \text{Where r is the radius and A is the area of the circle} \end{gathered}`

So as you can see, if you have the area of the circle, you can see get the measure of its radius:

`\begin{gathered} A=289\pi m^2 \\ A=\pi r^2 \\ 289\pi m^2=\pi r^2 \\ \text{ Divide by }\pi\text{ from both sides of the equation} \\ (289\pi m^2)/(\pi)=(\pi r^2)/(\pi) \\ 289m^2=r^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt[]{289m^2}=\sqrt[]{r^2} \\ 17m=r \end{gathered}`

Now that you have the measure of the radius of the circle, you can obtain its circumference using this formula:

`\begin{gathered} C=2\pi r \\ \text{ Where C is the circumference and} \\ \text{r is the radius of the circle} \end{gathered}`

So, you have

`\begin{gathered} r=17m \\ C=2\pi r \\ C=2\pi(17m) \\ C=34\pi m \end{gathered}`

Therefore, the correct answer is option B.