Answer:
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where
[tex](h, k)[/tex] - center
[tex]r[/tex] - radius
We have:
[tex](x-7)^2+(y-10)^2=4[/tex]
Therefore
[tex]h=7,\ k=10,\ r^2=4\to r=\sqrt4\to r=2[/tex]
The standard form of the equation of a circle is
(x - h)2 + (y - k)2 = r2
Where (h, k) is the center,
r is the radius
(x - 7)2 + (y - 10)2 = 4 [Given]
This is rewritten as (x - 7)2 + (y - 10)2 = 22
Comparing it with the standard form
(h, k) = (7, 10)
The radius of the circle r = 2 units
The radius of a circle is Option A. 2 units
The diameter is a straight line that passes through the center of the circle. The radius is half of the diameter. It starts from a point on the circle, and ends at the center of the circle.
A straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter. the length of such a line.
The radius of a circle is the distance from the center of the circle to any point on its circumference. It is usually denoted by 'R' or 'r'. This quantity has importance in almost all circle-related formulas. The area and circumference of a circle are also measured in terms of radius.
To learn more about the radius of the circle, refer
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