Question

Q. A circular pie has an area of 706.5 cm? What is the radius of the pie?
answer choices

A. 225 cm
B. 30 cm
C. 15 cm
D. 112.5 cm

Answer 1

Answer:

C. 15 cm

Step-by-step explanation:

The formula to find the area of a circle is: π × r²

But since we need to solve for the radius, we use the formula:

$r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}$

r = radius

A = area

π = 3.14

Now we substitute the information given in the text into the equation

$r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}$

Substitute values into the equation

$r = \sqrt{ \dfrac{ 706.5 }{ 3.14 } \phantom{\tiny{!}}}$

Divide 706.5 by 3.14

$r = \sqrt{ 225 }$

Take the square root of 225

$r = {15 }$

So, the radius of the pie is 15 cm