Question

write the equation of the circle centered at (9, 10) with radius 2. add work check answer

Explanation:

Step1: Recall the standard equation of a circle

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

Step2: Substitute the given values into the formula

Given \(h = 9\), \(k = 10\), and \(r = 2\). Substitute these values into the formula: \((x - 9)^2+(y - 10)^2=2^2\).

Step3: Simplify the equation

\(2^2=4\), so the equation becomes \((x - 9)^2+(y - 10)^2 = 4\).

Answer:

\((x - 9)^2+(y - 10)^2 = 4\)