If a circle has area of 32 meter square. then find the value of

radius:  4√(2π)/π  "four times the square-root of two pi, over pi"

Step-by-step explanation:

The formula for area of a circle is

A = πr², where A is the area, π is the constant value pi, and r is the radius

We are given an area of 32 m² and need to find the radius, so we have...

32 = πr²

First, divide by π to get the r term by itself

32/π = r²  

Now take the square root of both sides...

√(32/π) = r

Simplify the left side, you can distribute the square root to the numerator and the denominator...

(√32)/(√π) = r

   √32 breaks down into 4√2 using a factor tree.  You can't have a square root in the denominator so multiply top and bottom by √π  

[(4√2)(√π)]/[(√π)(√π)]  =  r

This simplifies to

4√(2π)/π