Review Question 16, 10.2.B-15 HW Score: \( 34.75 \% \), Part 1 of 2 Points: 0 of 1 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 \( \square \% \) of the data. (Round to the nearest percent as needed.)

To determine the percentage represented by a \( 72^\circ \) sector in a circle graph, use the formula: \(\text{Percentage} = \left(\frac{\text{Degrees in sector}}{\text{Total degrees in a circle}}\right) \times 100\). Since there are \( 360^\circ \) in a circle, the calculation goes: \(\left(\frac{72}{360}\right) \times 100 \approx 20\%\). So, a \( 72^\circ \) sector represents approximately \( 20\% \) of the data. For part b, to find how many degrees \( 0.60\% \) of the data represents, the formula rearranges to calculate degrees: \(\text{Degrees} = \left(\frac{\text{Percentage}}{100}\right) \times 360\). Plugging in \( 0.60\% \), it becomes: \(\left(\frac{0.60}{100}\right) \times 360 \approx 2.16\) degrees. Therefore, a sector for \( 0.60\% \) of data can be represented by about \( 2.16^\circ \), but if rounding to the nearest degree, it's \( 2^\circ \).