Answer: Radius = (15) feet
Diameter = (30) feet
Circumference = (30\pi) feet (approximately (94.25) feet, rounded to two decimal places).
Step-by-step explanation:
Area of the Circle: The area of a circle is given by the formula: [tex][ A = \pi r^2][/tex] where (A) represents the area, and (r) represents the radius.
Given that the area is [tex](225\pi)[/tex] square feet: [tex][ 225\pi = \pi r^2 ][/tex] Solving for (r):[tex][ r^2 = 225 ] [ r = 15 ][/tex]
Radius: The radius of the circle is (15) feet.
Diameter: The diameter of the circle is twice the radius: Diameter = [tex][ 2r = 2 x 15 = 30 ][/tex] [tex][r = 2 x 15 = 30 ][/tex]
Circumference: The circumference of the circle is given by: [tex][ C = 2\pi r ][/tex]Substituting the value of (r): [tex][ C = 2\pi x 15 = 30\pi ][/tex]
Radius = (15) feet
Diameter = (30) feet
Circumference = (30\pi) feet (approximately (94.25) feet, rounded to two decimal places).
hope this helps ^^