How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/4 1/5

Question

asked Apr 11, 2023 137k views

1 Answer

Wil Cooley · Answer 1 · 2023-04-17T22:03:43+0000

Let the area of the circle be 1 . Add the fractions for the shaded area

$\begin{gathered} (1)/(4)+(1)/(5) \\ (5+4)/(5\ast4)=(9)/(20) \\ \end{gathered}$

So the unshaded region is 9/20. Subtract the unshaded area from the total area to get the shaded area

$\begin{gathered} 1-(9)/(20) \\ =(20-9)/(20) \\ =(11)/(20) \end{gathered}$

So the answer is 11/20.