Question

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

Answer 1

Answer: $25\pi\ ft^2$ (First option)

Step-by-step explanation:

The formula for calculate the area of a circle is the one shown below:

$A=r^2\pi$

Where r is the radius of the circle.

XY is the diameter. Then the radius is:

$r=\frac{10ft}{2}\\r=5ft$

Substitute values into the formula shown above. Therefore, the area of the circle is:

$A=(5ft)^2\pi \\A=25\pi\ ft^2$

Answer 2

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.