Answer:
[tex]42.1\ units^2[/tex]
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is
[tex]C=2\pi r[/tex]
we have
[tex]C=23\ units[/tex]
assume
[tex]\pi =3.14[/tex]
substitute the given values and solve for r
[tex]23=2(3.14) r[/tex]
[tex]r=23/6.28[/tex]
[tex]r=3.66\ units[/tex]
step 2
Find the area of the circle
The area of the circle is
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=3.66\ units[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(3.66)^{2}[/tex]
[tex]A=42.1\ units^2[/tex]
