Answer:
![\large\boxed{\text{C}).\,15\,\text{cm}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wcgv6b3ut6v5m8n2qdtw3jp5myxqco1kbz.png)
Explanation:
In this question, we're trying to find what the radius of the circular pie is.
In this question, we know that the area of the pie is 706.5 cm²
We can use the area to find our radius.
We would use the formula
to find the radius.
R= radius
A = Area
Your equation should look like this:
![r=\sqrt(706.5)/(\pi)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dwj5ydfukfa9g82rob7sjwiqmhjhsl55qj.png)
Now, you will solve.
![r=\sqrt(706.5)/(\pi)\\\\\text{You can make it simpler by turning}\, \pi\,\text{into} 3.14\\\\r=\sqrt(706.5)/(3.14)\\\\\text{Divide 706.5 by 3.14}\\\\r=\sqrt225\\\\\text{Now, get the square root of 225}\\\\r=15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/roazcq8bofbl9lfqc8we310i584e0ix415.png)
When you're done solving, you should get 15.
This means that the radius of the pie is 15 cm.
I hope this helped you out.
Good luck on your academics.
Have a fantastic day!