Q.A household's monthly expenditure (₹) is: Food 3,000; Rent 2,000; Education 1,500; Others 1,500. Represent this data by a pie diagram, showing the percentage and the angle for each component.

Each component's angle is its share of the total multiplied by 360°; the four angles must add up to exactly 360°. …

Step 1 — find the total. $\text{Total} = 3{,}000 + 2{,}000 + 1{,}500 + 1{,}500 = ₹8{,}000$.

Step 2 — compute each component's percentage using $\text{percentage} = \dfrac{\text{value}}{\text{total}} \times 100$:

• Food: $\dfrac{3{,}000}{8{,}000} \times 100 = 37.5\%$
• Rent: $\dfrac{2{,}000}{8{,}000} \times 100 = 25\%$
• Education: $\dfrac{1{,}500}{8{,}000} \times 100 = 18.75\%$
• Others: $\dfrac{1{,}500}{8{,}000} \times 100 = 18.75\%$

Step 3 — compute each component's angle using $\text{angle} = \dfrac{\text{value}}{\text{total}} \times 360^{\circ}$:

• Food: $\dfrac{3{,}000}{8{,}000} \times 360^{\circ} = 135^{\circ}$
• Rent: $\dfrac{2{,}000}{8{,}000} \times 360^{\circ} = 90^{\circ}$
• Education: $\dfrac{1{,}500}{8{,}000} \times 360^{\circ} = 67.5^{\circ}$
• Others: $\dfrac{1{,}500}{8{,}000} \times 360^{\circ} = 67.5^{\circ}$

Quick check without recomputing every angle: since Education and Others have the same rupee value (₹1,500 each), they must have identical percentages and iden …

A frequent slip is computing the angle from the percentage using 100 instead of from the value using the total, or forgetting that the four angles (or percentages) must add up exactly to 360° (or 100%) — any pie-diagram answer that …