Question

the circle has center o, and the central angle of the shaded sector measures 225°. the area of the shaded sector is what fraction of the area of the circle? (the number of degrees of arc in a circle is 360.) choose 1 answer: a $\frac{5}{8}$ b $\frac{3}{5}$ c $\frac{2}{3}$

Explanation:

Step1: Set up fraction

The fraction is $\frac{225}{360}$.

Step2: Simplify fraction

$\frac{225\div45}{360\div45}=\frac{5}{8}$

Answer:

A. $\frac{5}{8}$