What is the radius of a circle whose equation is (x - 7)2 + (y - 10)2 = 4?
Solution:
Standard form of 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)
Radius of the circle r = 2
Therefore, the radius of a circle is 2.
What is the radius of a circle whose equation is (x - 7)2+ (y - 10)2= 4?
Summary:
The radius of a circle whose equation is (x - 7)2 + (y - 10)2 = 4 is 2.