How much of the circle is shaded? Write your answer as a fraction in simplest form?

Answer:
[tex]5/14[/tex]
Step-by-step explanation:
Let
x-----> the shaded area
we know that
[tex]x+\frac{1}{7}=\frac{1}{2}[/tex]
solve for x
Multiply by [tex]14[/tex] both sides
[tex]14x+2=7[/tex]
[tex]14x=7-2[/tex]
[tex]14x=5[/tex]
Divide by [tex]14[/tex] both sides
[tex]x=5/14[/tex] ----> fraction irreducible