Kevin designs sprinkler system for his yard. One rotation of the sprinkler waters a circle with an area of 225(pi) square feet. What is the radius, r, of the circle the rotating sprinkler waters?
a) 15 ft
b) 25 ft
c) 30 ft
d) 47 ft
Answer - A
Why?:
A = (pi) x r(2 to the second power)
A = 225 x 15 (2 to the second power)
15 x 15 = 225
pi r^2 = 225 pi
r^2 = 225
r = 15
im correct :)
thanks
To find the radius, r, of the circle the rotating sprinkler waters, we can use the formula for the area of a circle:
A = πr^2
Given that the area of the circle is 225π square feet, we can substitute this into the equation:
225π = πr^2
Dividing both sides by π, we have:
225 = r^2
Taking the square root of both sides, we get:
r = √225
r = 15
Therefore, the radius, r, of the circle the rotating sprinkler waters is 15 feet. Hence, the correct answer is option A.
To find the radius of the circle that the rotating sprinkler waters, we can use the formula for the area of a circle: A = πr^2, where A represents the area and r represents the radius of the circle.
Given that the area of the circle is 225π square feet, we can set up the equation:
225π = πr^2
To solve for r, we can divide both sides of the equation by π:
(225π)/π = (πr^2)/π
225 = r^2
To find the value of r, we can take the square root of both sides of the equation:
√225 = √r^2
15 = r
Therefore, the radius of the circle that the rotating sprinkler waters is 15 feet.