a. In a circle graph, a sector containing $$ 72^{\circ} $$ represents what percentage of the data? b. In a circle graph, $$ 0.60 \% $$ of data can be represented by a sector of how many degrees? a. A sector containing $$ 72^{\circ} $$ represents $$ 20 \% $$ of the data. (Round to the nearest percent as needed.) b. $$ 0.60 \% $$ of data can be represented by a sector of $$ \square $$ degrees.

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Let's solve both parts of the problem related to circle graphs.

### a. Percentage Representation of a $$ 72^{\circ} $$ Sector

**Given:**
- A sector with an angle of $$ 72^{\circ} $$

**Solution:**
A full circle has $$ 360^{\circ} $$. To find the percentage that $$ 72^{\circ} $$ represents:

$$
\text{Percentage} = \left( \frac{72}{360} \right) \times 100\% = 20\%
$$

**Answer:**
A sector containing $$ 72^{\circ} $$ represents **20%** of the data.

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### b. Degree Representation of $$ 0.60\% $$ Data

**Given:**
- $$ 0.60\% $$ of the data

**Solution:**
To find the number of degrees that represent $$ 0.60\% $$ of the data:

$$
\text{Degrees} = \left( \frac{0.60}{100} \right) \times 360^{\circ} = 0.006 \times 360^{\circ} = 2.16^{\circ}
$$

**Answer:**
$$ 0.60\% $$ of the data can be represented by a sector of **2.16 degrees**.
a. A $$ 72^{\circ} $$ sector represents **20%** of the data. b. $$ 0.60\% $$ of the data can be represented by a sector of **2.16 degrees**.

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