Respuesta :

Given:

A circle with diameter 9 cm.

To find:

The area of the circle.

Solution:

The area of a circle is:

[tex]A=\pi r^2[/tex]                   ...(i)

Where r is the radius.

We know that, the diameter of a circle is twice than its radius.

The diameter of the given circle is 9 cm.

[tex]r=\dfrac{9}{2}[/tex]

[tex]r=4.5[/tex]

Substituting [tex]r=4.5, \pi =3.14[/tex] in (i), we get

[tex]A=(3.14)(4.5)^2[/tex]

[tex]A=(3.14)(20.25)[/tex]

[tex]A=63.585[/tex]

[tex]A\approx 63.6[/tex]

Therefore, the area of the given circle is 63.6.