Answer: 40 m
Explanation:
The area of a circle is given by the formula:
A = πr², where:
We are given that A = 1600π m². Let's plug this into the formula:
1600π = πr²
Solve for r by first canceling out the π from both sides of the equation:
1600 = r²
r = 40
The radius of the circular area being watered by the sprinkler is 40 meters.
To find the radius of the circular area being watered by the sprinkler, we start with the formula for the area of a circle:
A=πr²
where A is the area and r is the radius. We are given that the area A is 1600π square meters. Therefore, we can set up the equation:
1600π=πr²
To solve for r, we first divide both sides of the equation by
1600=²
Next, we take the square root of both sides:
r= 1600
Calculating the square root of 1600 gives:
r=40