Find the area and the circumference of a circle with radius 3km.Write your answers in terms of π, and be sure to include the correct units in your answers.

Find the area and the circumference of a circle with radius 3kmWrite your answers in terms of π and be sure to include the correct units in your answers class=

Respuesta :

To find:

a) Area of the circle.

b) Circumference of the circle.

Solution:

a) It is known that the area of a circle is whose radius is r is given by:

[tex]Area=\pi r^2[/tex]

So, the area of the given circle is :

[tex]\begin{gathered} A=\pi(3)^2 \\ =9\pi km^2 \end{gathered}[/tex]

b)

It is known that the circumference of a circle whose radius is r is given by:

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

So, the area of the given circle is :

[tex]\begin{gathered} C=2\pi(3) \\ =6\pi km \end{gathered}[/tex]