pi r^2 = 225 pi
r^2 = 225
r = 15
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
r^2 = 225
r = 15
thanks
A = πr^2
Given that the area of the circle is 225Ï€ 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.
Given that the area of the circle is 225Ï€ 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:
(225Ï€)/Ï€ = (Ï€r^2)/Ï€
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.