Draw a pie chart - Statistics (Handling Data) Maths Worksheets for ... - Free Printable

Absolutely! Let’s solve the problem step by step and explain everything clearly.

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## 🎯 Goal:
Complete the table by calculating how many degrees each category (Walking, Car, Bike, Bus, Taxi) should take up in a pie chart, based on the number of children who use each mode of transport. Then, you’ll draw the pie chart using those angles.

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## 🔢 Step 1: Understand the Key Rule

> “Because there were 36 children, each child will represent 10° on the pie chart (360° ÷ 36 = 10).”

✔ This is the core idea:
- A full circle = 360°
- Total children = 36
- So, each child = 10°

Therefore, to find the angle for each travel method, we multiply the number of children by 10.

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## 📊 Step 2: Complete the Table

Let’s fill in the “Degrees” column using the calculation given: `10 × number of children`

| Travel by: | Children | Calculation | Degrees |
|------------|----------|-------------|---------|
| Walking | 13 | 10 × 13 | 130° |
| Car | 9 | 10 × 9 | 90° |
| Bike | 6 | 10 × 6 | 60° |
| Bus | 5 | 10 × 5 | 50° |
| Taxi | 3 | 10 × 3 | 30° |
| Total | 36 | — | 360° |

✔ Check: 130 + 90 + 60 + 50 + 30 = 360° → Perfect! The total adds up correctly.

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## 🖍️ Step 3: How to Draw the Pie Chart

You’re given a blank circle with one vertical line already drawn (probably from top to bottom — this will be your starting point).

Tools needed:

- Protractor
- Ruler
- Pencil & eraser
- Colored pencils (optional, for shading)

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✔ Drawing Instructions:

1. Start at the top (12 o’clock position) — that’s your 0° baseline.
2. Use the protractor to measure and draw each sector clockwise.

#### ➤ First Sector: Walking (130°)
- Place protractor center on the circle’s center.
- Align 0° with the vertical line.
- Mark 130° going clockwise.
- Draw a line from center to that mark.
- Shade or label this slice “Walking”.

#### ➤ Second Sector: Car (90°)
- Now start from the edge of the Walking slice (at 130°).
- Measure 90° more → so total from start = 130° + 90° = 220°
- Mark 220°, draw line, shade/label “Car”.

#### ➤ Third Sector: Bike (60°)
- Start from 220°, add 60° → 280°
- Mark 280°, draw line, label “Bike”.

#### ➤ Fourth Sector: Bus (50°)
- Start from 280°, add 50° → 330°
- Mark 330°, draw line, label “Bus”.

#### ➤ Fifth Sector: Taxi (30°)
- Start from 330°, add 30° → 360° (back to the top!)
- Draw line back to the starting point.
- Label “Taxi”.

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## 🧠 Why This Works

A pie chart shows parts of a whole. Since 36 children = 100% of the data, and 360° represents 100%, each child gets 10°. Multiplying the count by 10 gives the correct proportion of the circle.

This method ensures the pie chart accurately reflects the distribution of how children travel to school.

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## ✔ Final Answer (Completed Table):

| Travel by: | Children | Calculation | Degrees |
|------------|----------|-------------|---------|
| Walking | 13 | 10 × 13 | 130° |
| Car | 9 | 10 × 9 | 90° |
| Bike | 6 | 10 × 6 | 60° |
| Bus | 5 | 10 × 5 | 50° |
| Taxi | 3 | 10 × 3 | 30° |
| Total | 36 | — | 360° |

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## 🖼️ Visual Tip for Drawing:

Imagine the circle as a clock:
- Walking (130°) → goes past 3 o’clock (which is 90°), almost to 4:20.
- Car (90°) → exactly to 3 o’clock.
- Bike (60°) → to 2 o’clock.
- Bus (50°) → just before 2 o’clock.
- Taxi (30°) → to 1 o’clock.

But always use your protractor for accuracy!

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✔ You’ve now completed the math AND know how to draw the pie chart. Great job!

Let me know if you’d like a sketch or printable version!