1. Let's analyze the given circles and their triangle numbers. Circle 1: Perimeter numbers are 2, 1, 4; inside number is 7. Circle 2: Perimeter numbers are 2, 9, 25; inside number is 12. Circle 3: Perimeter numbers are 3, 4, 9; inside number is unknown. Circle 4: Perimeter numbers are 7, 121, 81; inside number is unknown. 2. We look for a pattern relating the perimeter numbers to the inside number. 3. For Circle 1, sum perimeter numbers: $2 + 1 + 4 = 7$, which matches inside number. 4. For Circle 2, sum: $2 + 9 + 25 = 36$, inside is 12. Try average: $36 / 3 = 12$, matches inside number. 5. So the inside number seems to be the average of the perimeter numbers. 6. For Circle 3, perimeter numbers are $3,4,9$. Calculate average: $$\frac{3 + 4 + 9}{3} = \frac{16}{3} = 5.33$$ We expect inside number to be approximately 5.33. 7. For Circle 4: perimeter numbers are $7,121,81$. Calculate average: $$\frac{7 + 121 + 81}{3} = \frac{209}{3} = 69.67$$ We expect inside number approximately 69.67. Final answers: Circle 3 inside number: $\approx 5.33$ Circle 4 inside number: $\approx 69.67$ Explanation: The inside number is the average of the numbers on the perimeter of the triangle inside the circle.