Answer:
[tex]\large\boxed{\text{C}).\,15\,\text{cm}}[/tex]
Step-by-step 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 [tex]r=\sqrt\frac{A}{\pi}[/tex] to find the radius.
R= radius
A = Area
Your equation should look like this:
[tex]r=\sqrt\frac{706.5}{\pi}[/tex]
Now, you will solve.
[tex]r=\sqrt\frac{706.5}{\pi}\\\\\text{You can make it simpler by turning}\, \pi\,\text{into} 3.14\\\\r=\sqrt\frac{706.5}{3.14}\\\\\text{Divide 706.5 by 3.14}\\\\r=\sqrt225\\\\\text{Now, get the square root of 225}\\\\r=15[/tex]
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!
