Respuesta :
Answer:
r = 8 ft
Step-by-step explanation:
Area of a circle => πr²
We are told in the question that:
The area of circle Z is 64Pi ft²
= 64π ft²
What is the value of r
We equate
πr² = 64 π
r² = 64 π/π
r² = 64
We square root both sides.
√r² = √64
r =>8 ft
The radius of the given circle Z is 8ft which was solved using the area of the circle
Data;
- Area = 64π ft^2
- radius = r
Area of a Circle
The formula of area of a circle is given as
[tex]A = \pi r^2[/tex]
Let's substitute the values and solve
[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]
divide through by π
[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]
Let's take the square root of both sides
[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]
The radius of the circle Z is 8ft
Learn more on area of a circle here;
https://brainly.com/question/15673093
