Circle GraphCircle Graph
In mathematics Circle Graphs is very important for every category students. So today I am
going to discuss the article circle graphs. In graph theory circle graphs are cal ed pie charts
and this is used to show the whole data which is divided into two parts. So by definition we
can say circle graph is the intersection graph of a set of chord of a circle.
In this way we can say circular chart is divided in two parts. In a pie chart the arc length of
each sector and consequently its central angle area is a part of pie chart.
For better understanding we are going to discuss some circle graphs based example.
So let's see example,
Example 1: In a university, there are 50 faculties in 2007 batch, 40 faculties are in 2006 batch
then find the pie chart value of number of faculties?
Solution: For finding the pie chart value we need to follow the below steps.
Step 1: In this step first we wil find the total number of faculties in al batches.Know More About :- Math Equations Math.Tutorvista.comPage No. :- 1/4
Total number of faculty = 50 + 40 = 90.
In this way we got the total number of faculties 90 in total batch.
Step 2: In this step we wil find the size of angle in 2007 batch.
In 2007 batch size of angle = 50 / 90 x 360 = 200
In this way we got size of angle of 2007 batch is 200
Step 3: In this step we wil find size of angle in 2006 batch.
In 2006 batch size of angle = 40/90 x360 = 160
In this way for pie chart value we divide the value in two parts. First part is 2007 batch which
is 200 and another part 2006 batch which is 160. ?
Example 2: In a marriage hall, there are 1400 guests in first year, 1000 guests are in second
year, and 1200 guests are in third year. So find a pie chart value.
Solution: For solving the pie chart problem we are going to follow the below steps:
Step 1: In the first step we will find the total number of guest in marriage hall.
Total number of guest = 1400 + 1000+1200 = 3600
Now we got the total number of guest is 3600
Step 2: In the second step we are going to find the size of angle in first year.
In first year, size of angle = 1400/3600 x 360 = 1400/10 = 140Learn More :- Integral Table Math.Tutorvista.comPage No. :- 2/4
Now we got the total size of angle `140 `in first year
Step 3: In the third step we are going to find the size of angle in second year.
In second year, size of angle = 1000/3600 x 360 = 1000/10 = 100
Now we got the total size of angle `100 `in second year
Step 4: In the fourth step we wil find the size of angle in third year.
In third year, size o angle = 1200/ 3600 x 360 = 1200/10 = 120
Now we got the total size of angle `120 `in third year
In this way we can divide the year in three parts for pie chart value
In first year pie chart value is 140, in second year pie chart value is 100, and in third year pie
chart value is 120.
After getting these values we put them in the pie chart.
So that was the article circle graphs with brief definition and with basic examples. In the next
article we wil discuss the other properties of circle graphs. Math.Tutorvista.comPage No. :- 4/4