Answer:
Part 1) The radius is 6 in and the diameter is 12 in
Part 2) The area of the dinner plate is [tex]A=113.04\ in^2[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
Part 1) What are the radius and diameter of the dinner plate?
we have
[tex]C=37.68\ in[/tex]
assume
[tex]\pi =3.14[/tex]
substitute in the formula and solve for the radius r
[tex]37.68=2(3.14)r[/tex]
[tex]r=37.68/[2(3.14)][/tex]
[tex]r=6\ in[/tex]
Find the diameter
The diameter is two times the radius
so
[tex]D=(2)6=12\ in[/tex]
Part 2) What is the area of the dinner plate
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=6\ in[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(6)^{2}[/tex]
[tex]A=113.04\ in^2[/tex]
