Analysis of Market Share Pie Chart
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6. The pie graph below shows the market share of four courier companies.
Doorstep and Speedsters have an equal share of the market.
The area that is shaded black forms a right angle at the centre of the graph.
[Pie Chart: Market Share of Courier Companies in South Africa]
a. What is the percentage market share of the following companies?
i. Global = __________ %
ii. Doorstep = __________ %
iii. RSA Home = __________ %
b. What is the market share of Speedsters expressed as a fraction?
____________________
c. Which company has the biggest market share?
____________________
This question includes visual content: A pie chart titled 'Market Share of Courier Companies in South Africa'. The chart is divided into four sectors: 1. 'RSA Home' (shaded black, stated in text to form a right angle of $90^\circ$ at the center). 2. 'Global' (shaded light grey, appears to be half of the circle, $180^\circ$). 3. 'Doorstep' and 4. 'Speedsters' (two smaller, equal-sized sectors sharing the remaining portion). 'Global' and the black sector ('RSA Home') are separated by a straight horizontal line representing the diameter.
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Step by Step Written Solution
Let's analyze this pie chart representing the market shares of four courier companies. We are given some crucial geometric clues to help us calculate the percentages.
Analyzing Market Shares
First, the problem states that the area shaded black, which corresponds to RSA Home, forms a right angle at the centre of the graph.
Since a full circle is three hundred and sixty degrees, a ninety-degree angle represents exactly one quarter of the total market.
To find the percentage for RSA Home, we multiply one quarter by one hundred percent, which gives us twenty-five percent.
Next, looking at the diagram, the boundary for Global forms a straight line with the boundary of RSA Home. This indicates Global occupies half of the circle.
Now let's find the shares for Doorstep and Speedsters. We know they share the remaining part of the circle.
Calculating Small Sectors
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