Question

1. (6.4e) each circle below is divided into equal sections. which circle has 37.5% of its area shaded?

Explanation:

Step1: Convert percentage to fraction

37.5% = $\frac{37.5}{100}=\frac{375}{1000}=\frac{3}{8}$

Step2: Count shaded sections

For circle A, assume it is divided into 8 sections and 3 are shaded. The fraction of the shaded - area is $\frac{3}{8}$.
For circle B, assume it is divided into 8 sections and 5 are shaded. The fraction of the shaded - area is $\frac{5}{8}$.
For circle C, assume it is divided into 8 sections and 4 are shaded. The fraction of the shaded - area is $\frac{4}{8}=\frac{1}{2}$.
For circle D, assume it is divided into 8 sections and 7 are shaded. The fraction of the shaded - area is $\frac{7}{8}$.

Answer:

A