Question

Please help meHow much of a circle is shaded write answer as a fraction in simplest form

Answer 1

The fraction of the circle that is shaded is;

`(11)/(21)`

Step-by-step explanation:

Given the figure in the attached image, we want to find how much of the given circle is shaded.

From the figure, the unshaded part of the circle is the sum of the two unshaded parts;

`\begin{gathered} (1)/(3)+(1)/(7) \\ =(7+3)/(21) \\ =(10)/(21) \end{gathered}`

The shaded part can be derived by subtracting the unshaded part from 1;

`\begin{gathered} 1-(10)/(21) \\ =(21-10)/(21) \\ =(11)/(21) \end{gathered}`

Therefore, the fraction of the circle that is shaded is;

`(11)/(21)`