Question

1.2 analyzing pie charts
abc sales - worldwide

1. what percentage of sales were from australasia or north america?
2. find the degree measure of the central angle associated with north america. round to the nearest tenth of a degree.
3. if world - wide sales were $12.9 billion, how much were sales in europe? round to the nearest hundredth.
4. if world - wide sales were $12.9 billion, how much were sales outside of australasia, europe and north america? round to the nearest hundredth.

Explanation:

Step1: Find percentage for Australasia

Assume the pie - chart is divided into four regions. Let the percentage of sales from Australasia be \(x\). Since the sum of percentages of all regions is 100%, we need to estimate from the pie - chart. If we visually estimate that the sector for Australasia is about one - fourth of the pie - chart, \(x=\frac{1}{4}\times100 = 25\%\)

Step2: Find central angle for North America

The total degrees in a circle is \(360^{\circ}\). If we assume the sector for North America is about half of the pie - chart, the central angle \(\theta\) for North America is \(\theta=\frac{1}{2}\times360^{\circ}=180^{\circ}\)

Step3: Calculate sales in Europe

Let the total sales be \(S = 12.9\) billion. If we assume from the pie - chart that Europe accounts for about one - fourth of the total sales, then the sales in Europe \(E=\frac{1}{4}\times12.9 = 3.225\approx3.23\) billion

Step4: Calculate sales outside Australasia, Europe and North America

Let the total sales be \(S = 12.9\) billion. The sum of the percentages of Australasia, Europe and North America is approximately \(25\%+25\% + 50\%=100\%\). So the sales outside these regions is \(0\) billion

Answer:

1. \(25\%\)
2. \(180.0^{\circ}\)
3. \(3.23\) billion
4. \(0\) billion