Q:

A circular pie has an area of 706.5 cm2. What is the radius ofthe pie?A)225cmB)30cmC)15cmD)112.5

Accepted Solution

A:
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 cm²We 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= radiusA = AreaYour 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!