Question

What is the radius of a circle whose equation is (x−7)2+(y−10)2=4?

A) 2 units
B) 4 units
C) 8 units
D) 16 units

Answer 1

The radius of the circle is 2 units.

Step-by-step explanation:

The equation of the circle is given as (x−7)²+(y−10)²=4. This equation is in the standard form of a circle: (x-h)²+(y-k)²=r², where (h,k) represents the center of the circle and r represents the radius.

Comparing the given equation with the standard form, we can see that the center of the circle is at (7,10) (the opposite signs indicate the direction of the translation) and the radius is √4 = 2.

Therefore, the radius of the circle is 2 units. Hence, the correct answer is A) 2 units.