Answer:
diameter = 3.385137501
Explanation:
Step 1: Find the radius (r):
The formula for the area of a circle is given by:
A = πr^2, where:
- A is the area in square units,
- and r is the radius.
A = πr^2
Now, we can substitute 9 for A to find the radius (r):
(9 = π(r)^2) / π
√(9/π) = √(r^2)
3 / √π = r
1.692568751 = r
Thus, the radius is 1.692568751
Step 2: Multiply r by 2 to find the diameter (d):
Now, we can find the diameter (d) by multiplying the radius by 2:
d = 2(1.692568751)
d = 3.385137501
Thus, the diameter is 3.385137501.
Note that we can represent the diameter in three ways:
- If you prefer the exact answer with decimals, you can use diameter = 3.385137501.
- If you prefer an approximate answer, round to as many places as you see feet like 3.4 inches if to the nearest tenth, 3.39 inches if to the nearest hundredth, etc.
- If you prefer an exact answer without decimals, you can use diameter = 6 / √π inches, which works since 3 / √π is the radius and 2(3 / √π) = 6 / √π.