How to write the equation of a circle when center is at the origin and radius is given

How to write the equation of a circle when center is at the origin and radius is given

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to derive the equation of a circle. It starts with the general equation for a circle with a center at any point (H, K) and then simplifies it for a circle centered at the origin (0, 0). The instructor demonstrates how to substitute the center coordinates and radius into the equation, resulting in the final form: X^2 + Y^2 = 36, where the radius is 6.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to derive the equation of a circle from its center and radius.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

If the radius of a circle is 6, what is the value of r squared in the equation?

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