A Circle has an area of 25 pie centimeter squared.If one side of the square is the same length as the radius of the circle,what is the perimeter of the Square?
F 20 cm
G 25 cm
H 50 cm
J 75 cm
K 100 cm
5*4
To find the perimeter of the square, we first need to find the length of one side of the square.
Given that the area of the circle is 25 pi cm^2, we can set up the equation:
Area of circle = pi * radius^2
25 pi cm^2 = pi * radius^2
To find the radius, we can take the square root of both sides of the equation:
sqrt(25 pi cm^2 / pi) = sqrt(radius^2)
5 cm = radius
Since the length of one side of the square is the same as the radius of the circle, the length of one side of the square is 5 cm.
Now that we have the length of one side of the square, we can calculate the perimeter by multiplying the length of one side by 4 (because a square has four equal sides):
Perimeter of square = 4 * length of one side
Perimeter of square = 4 * 5 cm
Perimeter of square = 20 cm
Therefore, the perimeter of the square is 20 cm, which corresponds to answer choice F.