What is the area of the circle if XY=10ft?
Answer options: 25pi ft2, 10pi ft2, 5pi ft2, 20pi ft2

Answer: [tex]25\pi\ ft^2[/tex] (First option)
Step-by-step explanation:
The formula for calculate the area of a circle is the one shown below:
[tex]A=r^2\pi[/tex]
Where r is the radius of the circle.
XY is the diameter. Then the radius is:
[tex]r=\frac{10ft}{2}\\r=5ft[/tex]
Substitute values into the formula shown above. Therefore, the area of the circle is:
[tex]A=(5ft)^2\pi \\A=25\pi\ ft^2[/tex]
Answer:
The correct answer is first option 25pi ft2
Step-by-step explanation:
Formula
Area of circle = πr²
r - Radius of circle
To find the area of given circle
Here XY = 10 ft
XY is the diameter of given circle
Radius r = Diameter/2 = 10/2 = 5 ft
Area = πr² = π5² = π x 5 x 5 = 25π ft²
Therefore area of given circle is 25π ft²
The correct answer is first option.