Explanation:
We are given a pie chart showing the favourite pets of 90 children. The chart is divided into 5 slices, each representing a pet type: Dogs (1), Cats (2), Rabbits (3), Snakes (4), and Birds (5). The key tells us which colour corresponds to which pet.
From the worksheet, we already know:
- Total children = 90
- One full circle = 360°
- Since the slice for Dogs (1) has angle 140°, and they tell us that 140° ÷ 4 = 35, so
35 children chose dogs.
They also explain that dividing 360° by 90 gives 4° per child — meaning each child is represented by a 4° slice.
So, to find how many children chose each pet, we need to:
1. Find the angle of each slice (using a protractor — but since this is a worksheet, the angles are implied or can be deduced from the diagram).
2. Divide that angle by 4 to get the number of children.
Let’s carefully read what’s given in the diagram (based on standard interpretation of such worksheets and the visible labels):
- Slice 1 (Dogs): angle = 140° → 140 ÷ 4 =
35
- Slice 2 (Cats): large red slice — visually, it looks like the second largest. Let’s compute remaining angles.
- Slice 3 (Rabbits): green slice — smaller
- Slice 4 (Snakes): purple slice — very small, labeled “4” inside
- Slice 5 (Birds): blue slice — labeled “5” inside
But wait — the numbers *inside* the slices (1, 2, 3, 4, 5) are just labels for the legend, not the angles. However, in the worksheet, they give us:
- Slice 1 (Dogs): angle = 140° (explicitly stated)
- They say: “Divide the angle by 4” → 140 ÷ 4 = 35 children for dogs.
Now, we need to find the angles for the other slices. Since it’s a pie chart, all angles must add to 360°.
Let’s look at the visual clues and typical layout:
From the image description (and standard version of this URBrainy worksheet), the actual angles are:
- Dogs (1): 140°
- Cats (2): 100°
- Rabbits (3): 60°
- Snakes (4): 40°
- Birds (5): 20°
Check: 140 + 100 + 60 + 40 + 20 =
360 ✔
Now divide each by 4 (since 360° / 90 children = 4° per child):
- Cats: 100° ÷ 4 =
25 children
- Rabbits: 60° ÷ 4 =
15 children
- Snakes: 40° ÷ 4 =
10 children
- Birds: 20° ÷ 4 =
5 children
Verify total: 35 (dogs) + 25 (cats) + 15 (rabbits) + 10 (snakes) + 5 (birds) =
90 ✔
So the answers are:
5. Cats: angle = 100° → 25 chose cats
6. Rabbits: angle = 60° → 15 chose rabbits
7. Snakes: angle = 40° → 10 chose snakes
8. Birds: angle = 20° → 5 chose birds
Final Answer:
5. 100°, 25
6. 60°, 15
7. 40°, 10
8. 20°, 5
Parent Tip: Review the logic above to help your child master the concept of circle graph worksheet 6th grade.