The circle's equation is x² + y² = 36.
What is the equation for a circle?
- The equation of a circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle.
- The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
Given:
length of its radius is 6.
To find:
the circle's equation
The equation for a circle in center, radius form is
(x - h)² + (y - k)² = r²
The equation of a circle centered at the origin is
x² + y² = r²
Where, r is the radius of the circle
Here radius of the circle = 6
If the center is (0,0) then h = 0 and k = 0
x² + y² = 6²,
x² + y² = 36
Therefore, the circle's equation x² + y² = 36.
To learn more about the radius of the circle refer to:
https://brainly.com/question/12051783
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