Question

what is the radius of a circle whose equation is $(x - 7)^{2}+(y - 10)^{2}=4$? 4 units 16 units 8 units 2 units

Explanation:

Step1: Recall the standard form of a circle's equation

The standard form of a circle's equation is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Compare the given equation with the standard form

Given \((x - 7)^2+(y - 10)^2 = 4\), we have \(r^2=4\).

Step3: Solve for \(r\)

Take the square root of both sides: \(r=\sqrt{4}\).

Answer:

\(2\) units