Answer:
The area of the circle is [tex]78.5\ units^{2}[/tex]
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=31.4\ units[/tex]
assume
[tex]\pi=3.14[/tex]
substitute the values
[tex]31.4=2(3.14)r[/tex]
[tex]r=31.4/[2(3.14)]=5\ units[/tex]
step 2
Find the area of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
substitute the values
[tex]A=(3.14)(5)^{2}[/tex]
[tex]A=78.5\ units^{2}[/tex]
