Question

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

Answer 1

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

$\begin{gathered} \frac{1}{4}+\frac{1}{5} \\ \frac{5+4}{5\ast4}=\frac{9}{20} \\ \end{gathered}$

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

$\begin{gathered} 1-\frac{9}{20} \\ =\frac{20-9}{20} \\ =\frac{11}{20} \end{gathered}$

So the answer is 11/20.