Anonymous

# Math/Algebra?

Find the equation for the circle with center (5,3) and passing through (2,-2).

Write the equation for the circle. Simplify your answer.

### 2 Answers

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- 4 weeks ago
The equation of a circle with centre (a, b) and radius r is (x - a)^2 + (y - b)^2 = r^2

So we have:

(x - 5)^2 + (y - 3)^2 = r^2

Radius, r, is the distance between the two points.

r= sqrt [(2−5)^2+(−2−3)^2]

r= sqrt [(−3)^2+(−5)^2]

r= sqrt (9+25)

r= sqrt( 34)

r^2 = 34

We now have: (x - 5)^2 + (y - 3)^2 = 34

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