The circle of the given radius with equation (x-7)²+(y-10)²=4 is 2 units.
<h3>What do we mean by
circles?</h3>
A circle is, in the simplest terms, a circular shape without edges or lines.
Its geometric form is that of a closed curve.
If you track a moving point in a plane while keeping a fixed distance from another point, a circle will have a closed shape.
The English word "circle" derives from the Greek word "kirks," which means "hoop" or "ring."
So, the equation for a circle in its standard form is:
(x - h)² + (y - k)² = r²
Where the radius is r and the centroid is (h, k).
The equation is: (x - 7)² + (y - 10)² = 4
This is rewritten as:
(x - 7)² + (y - 10)² = 2²
When compared to the typical form:
(h, k) = (7, 10)
The circle's radius is 2.
Therefore, the circle of the given radius with equation (x-7)²+(y-10)²=4 is 2 units.
Know more about circles here:
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Correct question:
What is the radius of a circle whose equation is (x-7)²+(y-10)²=4?
