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

C. 15 cm

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{ ( 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{ ( A )/( \pi ) \phantom{\tiny{!}}}`

Substitute values into the equation

`r = \sqrt{ ( 706.5 )/( 3.14 ) \phantom{\tiny{!}}}`

Divide 706.5 by 3.14

`r = √( 225 )`

Take the square root of 225

`r = {15 }`

So, the radius of the pie is 15 cm