Answer:
[tex]A=6.33\ cm^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=\frac{28}{3.14}\ cm[/tex]
[tex]\pi=3.14[/tex]
substitute the values
[tex]\frac{28}{3.14}=2(3.14)r[/tex]
[tex]r=\frac{28}{19.7192}\ cm[/tex]
[tex]r=1.42\ cm[/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)(1.42)^{2}[/tex]
[tex]A=6.33\ cm^2[/tex]
