Circle Graph Formula

Statistics is the branch of mathematics that deals with the collection and summarization of data. Statistics basically is concerned with the collection, analysis, interpretation, and presentation of a particular set of data. Statistics plays a vital role in the field of data collection, especially are used by the government like a census, survey rate, mortality rate, etc.

Circle Graph

Circle graphs are the method of representing data using circles or spheres which carry information related to the real world. It is represented in pie charts and hence, is a visualized form of information.

The whole circle graph measures equal to 360 degrees which is further broken into smaller parts from the center with certain angles.

Circle Graph Formula

Circle graph as used in presentations to show visual data of fractional or proportional part from the whole sum of information. To get a precise circle graph or pie chart circle graph formula is used. the formula is given below.

• Percentage = Amount of category/ Total × 100
• Angle = Amount of category/total × 360°

Sample Problem

Question 1: Prepare a circle graph for the personal expenses enlisted below.

• Food 37%
• Rent 16%
• Clothing 11%
• Education 20%
• Medicine 12%
• Other expenses 4%

Solution:

Question 2: Prepare a piechart of the given information based on angle proportion.

• Apple -9
• Banana – 12
• Orange – 6
• Strawberry – 8 
• Coconut – 1

Solution:

Calculating the angles 

The total number of fruits is 36

• For apple

Angle = (Amount in the Category ⁄ Total) × 360°

=> 9/36  ×  360°

=> 90°

• For banana

Angle = (Amount in the Category ⁄ Total) × 360°

=> 12/36  × 360°

=> 120°

• For orange

Angle = (Amount in the Category ⁄ Total) × 360°

=> 6/36 × 360°

=> 60°

• For strawberry

Angle = (Amount in the Category ⁄ Total) × 360°

=> 8/36 × 360°

=> 80°

• For coconut

Angle = (Amount in the Category ⁄ Total) × 360°

=> 1/36 ×  360°

=> 10°

Question 3: Prepare a pie chart for given data.

Companies	Data
Vivo	36%
Oppo	29%
Samsung	10%
Sony	7%
Jio	18%

Solution:

Problem.4. Prepare a pie chart based on percentage.

Beverages	Number of users
Fanta	9
Coke	12
Thumbs up	6
Sprite	7
Mazza	2

Solution:

• For Fanta

Percentage = (Amount in the category/Total)  × 100

=> 9/36 × 100

=> 25%

• For Coke

Percentage = (Amount in the category/Total) × 100

=> 12/36 × 100

=> 33%

• In Thumps Up

Percentage = (Amount in the category/Total) × 100

=> 6/36 × 100

=> 17%

• In Sprite

Percentage = (Amount in the category/Total) × 100

=> 7/36 × 100

=> 19%

• In Mazza

Percentage = (Amount in the category/Total) × 100

=> 2/36 × 100

=> 6%

Question 5: Prepare a piechart of the given percentages of household expenses.

Expenses	Percentage
Foods	30%
Rent	15%
Education	25%
Medicine	10%
Others	20%

Solution:

Question 6: Draw a pie chart based on angle proportion.

Subjects	Marks
Maths	50
Science	20
English	15
Geography	15

Solution:

Subject	Marks	Angles
Maths	50	50/100 ×360°=180°
Science	20	20/100 × 360°=72°
English	15	15/100 × 360°=54°
Geography	15	15/100 × 360°=54°