Find the circumference and area of a circle with a diameter of 10 inches. Leave your answer in terms of pi.

Respuesta :

Answer:

[tex]Circumference=10\pi \;inches\\\\Area=25\pi \,inches^2[/tex]

Step-by-step explanation:

Diameter of the circle=[tex]10\;inches[/tex]

[tex]Radius=\dfrac{10}{2}=5\;inches[/tex]

Circumference of a circle = [tex]2\times \pi \times r[/tex]

As,

[tex]\pi =\dfrac{22}{7} =3.14[/tex]

In terms of '[tex]\pi[/tex]':

Circumference:

                             [tex]=2\times \pi \times 5\\\\=10\pi \,inches[/tex]

Area of a circle= [tex]\pi \times r^2[/tex]

                     [tex]=\pi \times( 5 \times 5)\\\\=25\pi \;inches^2[/tex]