Answer:
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
