A pie chart shows the distribution of expenses in a household. If the rent is re
Practice Questions
Q1
A pie chart shows the distribution of expenses in a household. If the rent is represented by 120 degrees, what fraction of the total expenses does it represent? (2023)
1/3
1/4
1/2
2/3
Questions & Step-by-Step Solutions
A pie chart shows the distribution of expenses in a household. If the rent is represented by 120 degrees, what fraction of the total expenses does it represent? (2023)
Step 1: Understand that a pie chart represents a whole circle, which is 360 degrees.
Step 2: Identify the portion of the pie chart that represents rent, which is given as 120 degrees.
Step 3: To find the fraction of the total expenses that rent represents, divide the rent degrees by the total degrees of the pie chart: 120 degrees / 360 degrees.
Step 4: Simplify the fraction 120/360. Both numbers can be divided by 120.
Step 5: After dividing, you get 1/3. This means rent represents 1/3 of the total expenses.
Fraction of a Circle – Understanding that a pie chart represents a whole (360 degrees) and calculating the fraction represented by a specific angle.
Proportions – Calculating the proportion of a part (rent) to the whole (total expenses) using degrees.
