The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.

Please show work

Respuesta :

Answer:

Part 1) The area is [tex]A=4,069.44\ in^{2}[/tex]

Part 2) The circumference is [tex]C=226.08\ in[/tex]

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=72/2=36\ in[/tex] ------> the radius is half the diameter

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(36)^{2}[/tex]

[tex]A=4,069.44\ in^{2}[/tex]

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

[tex]C=\pi D[/tex]

we have

[tex]D=72\ in[/tex]

[tex]\pi =3.14[/tex]

substitute

[tex]C=(3.14)(72)[/tex]

[tex]C=226.08\ in[/tex]