Graphing Circles

Graphing Circles

By Mary Mackay

Open Ended

For the circle pictured, the center is at (3,2) and a point on the circle is at (7,7). Tell how we would find the length of the radius.

For the circle pictured, the center is at (3,2) and a point on the circle is at (7,7). Find the length of the radius.

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Solving

Open Ended

Find the length of the radius for a circle with a center at (2, 3) and a point on the circle at (4, 8). Upload a picture of your work. Leave your answer as a square root.

Open Ended

Find the length of the radius for a circle with a center at (-1, -5) and a point on the circle at (8, 3). Upload a picture of your work. Leave your answer as a square root.

Open Ended

Find the length of the radius for a circle with a center at (132, -8.5) and a point on the circle at (2.5, 13). Upload a picture of your work. Provide your answer as a decimal.

Open Ended

In the circle shown below, points (-6, 7) and  (4, -3) are on the circle.  Where is the center of the circle?  Show all work to receive credit.

Equations of a Circle

What do the parts mean?

r²=(x-h)²+(y-k)²

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Write the equation of this circle.​

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Writing Equations

Open Ended

Write the equation of this circle.

Open Ended

Write the equation of this circle.

Open Ended

Write the equation of this circle.

Draw

Sketch this circle: (x-3)²+(y+1)²=9

Consider the circle

(x+1)²+(y-5)²=50

Are the following points on the circle?

(8,-3)

(-2,-2)

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Multiple Choice

Is (9, -1) on (x-2)²+(y-2)²=60?

• Yes

• No

Multiple Choice

Is (-4, -3) on (x+3)²+(y-3)²=37?

• Yes

• No