Question

assignment 10.0: distance and midpoint formula
score: 44/100 answered: 6/12
question 7
write the equation of the circle centered at (2, 1) with radius 1.
question help: video post to forum

Explanation:

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

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 that the center \((h,k)=(2,1)\) and radius \(r = 1\). Substitute \(h = 2\), \(k=1\), and \(r = 1\) into \((x - h)^2+(y - k)^2=r^2\).
We get \((x - 2)^2+(y - 1)^2=1^2\).

Answer:

\((x - 2)^2+(y - 1)^2=1\)