Respuesta :

Answer:

[tex]A=200.96\ unit^2[/tex]

Step-by-step explanation:

Given that,

The circumference of the circle, C = 50.24 units

We need to find the area of the circle.

The formula for the circumference of the circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{50.24}{2\times 3.14}\\\\r=8\ units[/tex]

The formula for the area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times 8^2\\A=200.96\ unit^2[/tex]

So, the area of the circle is equal to [tex]200.96\ unit^2[/tex].