Equation of a Circle Thin Slice Tasks

Task 1

Task 1

Thin Slice Activity: Equation of a Circle

What would the equation of each circle graphed below be?

Task 2

Shown in each graph is a circle with its equation.

Task 3

What would the equation of each circle graphed below be?

Task 4

Shown here in each picture is a circle with its equation.

Equation of Circle:

Equation of circle:

𝑥

2 + (𝑦 − 5)

2 = 16
𝑥

2 + (𝑦 − 3)

2 = 25

What would the equation of each circle graphed below be?

Task 5

Shown here in each picture is a circle with its equation.

Equation of Circle:

Equation of circle:

𝑥

2 + (𝑦 + 6)

2 = 25
𝑥

2 + (𝑦 + 4)

2 = 81

What would the equation of each circle graphed below be?

Task 6

Shown here in each picture is a circle with its equation.

Equation of Circle:

Equation of circle:

(𝑥 − 4)

2 + (𝑦 − 3)

2 = 25
(𝑥 − 2)

2 + (𝑦 − 6)

2 = 9

What would the equation of each circle graphed below be?

Task 7

Shown here in each picture is a circle with its equation.

Equation of Circle:

Equation of circle:

(𝑥 + 6)

2 + (𝑦 − 7)

2 = 25
(𝑥 + 4)

2 + (𝑦 − 2)

2 = 81

What would the equation of each circle graphed below be?

Task 8

Shown here in each picture is a circle with its equation.

Equation of Circle:

Equation of circle:

(𝑥 + 9)

2 + (𝑦 + 5)

2 = 64
(𝑥 + 3)

2 + (𝑦 + 7)

2 = 25

What would the equation of each circle graphed below be?

Task 9

Shown here in each picture is a circle with its equation.

Equation of Circle:

Equation of circle:

(𝑥 − 5)

2 + (𝑦 + 6)

2 = 9
(𝑥 − 9)

2 + (𝑦 + 4)

2 = 64

What would the equation of each circle graphed below be?

Task 10

Bringing it all together…

Equation of a Circle

Match each picture with its corresponding graph on the right.

Task 11

Match each picture with its corresponding graph on the right.

Task 12

Sketch a quick graph of the circle whose equation is

.

(𝑥 − 2)

2 + (𝑦 − 3)

2 = 9

Sketch a quick graph of the circle whose equation is

.

(𝑥 + 2)

2 + (𝑦 − 3)

2 = 9

Sketch a quick graph of the circle whose equation is

.

(𝑥 + 2)

2 + (𝑦 + 3)

2 = 9

Sketch a quick graph of the circle whose equation is

.

(𝑥 + 2)

2 + (𝑦 − 3)

2 = 9