This circle is centered at the origin, and the length of its radius is 2. What is the circle's equation?
Question
This circle is centered at the origin, and the length of its radius is 2. What is the circle's equation?
Solution
The equation of a circle centered at the origin (0,0) with radius r is given by the formula x² + y² = r².
Given that the radius of this circle is 2, we substitute r = 2 into the formula to get:
x² + y² = 2²
Therefore, the equation of the circle is x² + y² = 4.
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