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Sagot :
To draw a pie chart representing Aisha's performance in her final examination, we need to follow these steps:
1. Understand the Data:
We'll visualize the percentages of scores Aisha obtained in different subjects on a pie chart. The subjects and their corresponding scores are:
- English Language: 54%
- Mathematics: 36%
- Ga: 68%
- Science: 50%
- Social Studies: 32%
2. Calculate the Angles for Each Sector:
In a pie chart, the whole circle represents 100%, which is 360 degrees. We need to convert each percentage into its corresponding angle.
[tex]\[ \text{Angle} = \left( \frac{\text{Percentage}}{100} \right) \times 360^\circ \][/tex]
Let's compute the angles for each subject:
- English Language:
[tex]\[ 54\% = \left( \frac{54}{100} \right) \times 360 = 194.4^\circ \][/tex]
- Mathematics:
[tex]\[ 36\% = \left( \frac{36}{100} \right) \times 360 = 129.6^\circ \][/tex]
- Ga:
[tex]\[ 68\% = \left( \frac{68}{100} \right) \times 360 = 244.8^\circ \][/tex]
- Science:
[tex]\[ 50\% = \left( \frac{50}{100} \right) \times 360 = 180^\circ \][/tex]
- Social Studies:
[tex]\[ 32\% = \left( \frac{32}{100} \right) \times 360 = 115.2^\circ \][/tex]
3. Draw the Pie Chart:
- We'll start from an initial angle of 0 degrees.
- As we add each sector, we'll move in a clockwise direction.
Use the computations above to draw sectors corresponding to each subject.
4. Assign Colors and Labels:
- Use different colors for each subject to differentiate them easily.
- Label each sector with the respective subject and its percentage.
5. Exploded Sector (Optional):
If you want to highlight a particular subject, you can "explode" that sector out of the pie chart slightly.
Here is the visual representation without using code:
- English Language (54%):
Draw a section starting from 0 degrees to 194.4 degrees.
- Mathematics (36%):
Draw the next section starting from 194.4 degrees to \(194.4 + 129.6 = 324\) degrees.
- Ga (68%):
Draw the next section starting from 324 degrees to \(324 + 244.8 = 568.8\) degrees, but since we complete a circle at 360 degrees, subtract 360: \(568.8 - 360 = 208.8\) degrees. The sector overlaps the 0-208.8 degrees.
- Science (50%):
Start this section after Ga, from 208.8 degrees to \(208.8 + 180 = 388.8\) degrees.
- Social Studies (32%):
Finally, draw the section starting from 388.8 degrees to \(388.8 + 115.2 = 504\) degrees (again, after 360 degrees: \(504 - 360 = 144\), which overlaps 0-144 degrees).
Since drawing might be tricky without visual tools, usually we use software to ensure precise angles. But, follow the structure and match the data with appropriate portions on the circular pie chart. Each slice’s size should represent the corresponding percentage correctly.
Note: This explanation has detailed steps for manual calculation and conceptual understanding. Normally, graphical tools or software simplifies this process significantly.
1. Understand the Data:
We'll visualize the percentages of scores Aisha obtained in different subjects on a pie chart. The subjects and their corresponding scores are:
- English Language: 54%
- Mathematics: 36%
- Ga: 68%
- Science: 50%
- Social Studies: 32%
2. Calculate the Angles for Each Sector:
In a pie chart, the whole circle represents 100%, which is 360 degrees. We need to convert each percentage into its corresponding angle.
[tex]\[ \text{Angle} = \left( \frac{\text{Percentage}}{100} \right) \times 360^\circ \][/tex]
Let's compute the angles for each subject:
- English Language:
[tex]\[ 54\% = \left( \frac{54}{100} \right) \times 360 = 194.4^\circ \][/tex]
- Mathematics:
[tex]\[ 36\% = \left( \frac{36}{100} \right) \times 360 = 129.6^\circ \][/tex]
- Ga:
[tex]\[ 68\% = \left( \frac{68}{100} \right) \times 360 = 244.8^\circ \][/tex]
- Science:
[tex]\[ 50\% = \left( \frac{50}{100} \right) \times 360 = 180^\circ \][/tex]
- Social Studies:
[tex]\[ 32\% = \left( \frac{32}{100} \right) \times 360 = 115.2^\circ \][/tex]
3. Draw the Pie Chart:
- We'll start from an initial angle of 0 degrees.
- As we add each sector, we'll move in a clockwise direction.
Use the computations above to draw sectors corresponding to each subject.
4. Assign Colors and Labels:
- Use different colors for each subject to differentiate them easily.
- Label each sector with the respective subject and its percentage.
5. Exploded Sector (Optional):
If you want to highlight a particular subject, you can "explode" that sector out of the pie chart slightly.
Here is the visual representation without using code:
- English Language (54%):
Draw a section starting from 0 degrees to 194.4 degrees.
- Mathematics (36%):
Draw the next section starting from 194.4 degrees to \(194.4 + 129.6 = 324\) degrees.
- Ga (68%):
Draw the next section starting from 324 degrees to \(324 + 244.8 = 568.8\) degrees, but since we complete a circle at 360 degrees, subtract 360: \(568.8 - 360 = 208.8\) degrees. The sector overlaps the 0-208.8 degrees.
- Science (50%):
Start this section after Ga, from 208.8 degrees to \(208.8 + 180 = 388.8\) degrees.
- Social Studies (32%):
Finally, draw the section starting from 388.8 degrees to \(388.8 + 115.2 = 504\) degrees (again, after 360 degrees: \(504 - 360 = 144\), which overlaps 0-144 degrees).
Since drawing might be tricky without visual tools, usually we use software to ensure precise angles. But, follow the structure and match the data with appropriate portions on the circular pie chart. Each slice’s size should represent the corresponding percentage correctly.
Note: This explanation has detailed steps for manual calculation and conceptual understanding. Normally, graphical tools or software simplifies this process significantly.
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