Question

What is the area of the circle if XY=10ft?

Answer options: 25pi ft2, 10pi ft2, 5pi ft2, 20pi ft2

Answer 1

The correct answer is first option 25pi ft2

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.

Answer 2

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

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=(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`