Write the standard form of the equation and the general form of the equation of the circle of radius r equals 1 and center left parenthesis h comma k right parenthesis equals left parenthesis 0 comma 0 right parenthesis . Graph the circle.

Here is the graph of the circle with the equation \( x^2 + y^2 = 1 \), where the center is at \( (0, 0) \) and the radius is 1.

Would you like further details or have any questions?

Here are some related questions to explore:
1. How would the equation change if the radius were different?
2. What happens to the graph if the center is shifted to \( (h, k) \)?
3. How do you convert from standard form to general form of a circle equation?
4. What is the equation of a circle with a radius of 2 and centered at \( (1, 1) \)?
5. How does the equation change if the circle is tangent to one of the axes?

**Tip:** The distance from the origin to any point on the circle is always equal to the radius.

Write the standard form of the equation and the general form of the equation of the circle of radius r equals 1 and center left parenthesis h comma k right parenthesis equals left parenthesis 0 comma 0 right parenthesis. Graph the circle.

Learn how to write the standard and general forms of the equation of a circle with a radius of 1 and center at the origin (0, 0). This problem covers key concepts in coordinate geometry and the Pythagorean theorem. Suitable for students in Grades 9-10.

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