Pre cal Problem

Question

The center of a circle is located at the point (1,1). The point (-3,4) is located on the circle. 

 

a. What is the radius of the circle?

 

b. What is the equation for the graph of the circle?

Answer 1

 

(a)

 

Center at (1,1), x = -3, y = 4

 

(-3 - 1)² + (4 - 1)² = r²

 

4² + 3² = 25 = 5²

 

r = 5

 

(b)

 

(x - 1)² + (y - 1)² = 5²