Explain how to derive the equation of a circle using the Pythagorean theorem.
Writing Equations of Circles Using the Pythagorean Theorem

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Mathematics
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1st - 6th Grade
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Hard
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7 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the general equation of a circle centered at the origin?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
How do the leg lengths change when the center of the circle is moved?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
What are the leg lengths of a right triangle formed when a circle is centered at (h, k)?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the significance of the variables h, k, and r in the equation of a circle?
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
Write the equation of a circle centered at (3, 2) with a radius of 8.
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the equation of a circle centered at (-5, 1) with a radius of 6?
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