Question

which picture has an area equivalent to $\frac{1}{3}$ shaded? choose 1 answer: a (a circle divided into three - equal parts with two parts shaded and labeled $\frac{1}{3}$ each) b (a circle divided into four - equal parts with one part shaded and labeled $\frac{1}{4}$ each)

Explanation:

Step1: Analyze option A

The circle in option A is divided into 3 equal - sized sectors. Each sector represents $\frac{1}{3}$ of the whole circle. The shaded part is one of these sectors, so the shaded area is $\frac{1}{3}$ of the total area of the circle.

Step2: Analyze option B

The circle in option B is divided into 4 equal - sized sectors. Each sector represents $\frac{1}{4}$ of the whole circle. The shaded part is one of these sectors, so the shaded area is $\frac{1}{4}$ of the total area of the circle.

Answer:

A. The circle divided into three equal parts with one - part shaded.