Writing Equations of Circles Using the Pythagorean Theorem

Writing Equations of Circles Using the Pythagorean Theorem

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to derive the equation of a circle using the Pythagorean theorem.

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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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