Question

On a particular day, the sale(in rupees) of different flavours of ice creams of a shop are given- Chocolate:- 160, Vanilla:-80, Butturscotch:- 60, Fruit :- 60. Find the central angle of each . ​

Answer 1

ANSWER:

Given:

• Sale of Chocolate ice cream = Rs 160
• Sale of Vanilla ice cream = Rs 80
• Sale of Butterscotch ice cream = Rs 60
• Sale of Fruit ice cream = Rs 60

To Find:

• Central angle of each flavour

Solution:

We are given that sale(in Rs) of different flavours of ice creams of a shop are-

• Chocolate = 160
• Vanilla = 80
• Butterscotch = 60
• Fruit = 60

Now, we need to find the central angle of each flavour, when the data is represented in a pie chart.

First of all, we'll understand what a central angle is. Central angle is the angle, that any entity has in the pie chart.

Formula for Central Angle = [(Quantity of entity)/(Total of Quantities)] × 360°

Total of Quantities = 160 + 80 + 60 + 60 = 240 + 120 = 360

So,

Central Angle for the given data = [(Quantity of entity)/360] × 360°

Hence,

Central Angle for the given data = (Quantity of entity)°

Now, we'll calculate the central angle for each given flavour.

So,

• Central Angle for sale of Chocolate ice cream = (160)° = 160°
• Central Angle for sale of Vanilla ice cream = (80)° = 80°
• Central Angle for sale of Butterscotch ice cream = (60)° = 60°
• Central Angle for sale of Fruit ice cream = (60)° = 60°

Hence, central angles for sales of Chocolate, Vanilla, Butterscotch and Fruit ice cream are 160°, 80°, 60° & 60° respectively.

Formula Used:

• Central Angle = [(Quantity of entity)/(Total of Quantities)] × 360°