Question

Please Help me find the center of the radius and write a standard equation for each circle.

Answer 1

The standard equation of a circle of radius R an center at (A, B) is:


`(x-A)^2+(y-B)^2=R^2`

The coordinates of the center and the radius of every circle can be seen in the graphs:

a) Center: (0,0); Radius: 5; Equation:
`x^2+y^2=5^2`
b) Center: (6,4); Radius: 3; Equation:
`(x-6)^2+(y-4)^2=3^2`
c) Center: (4,3); Radius: 5; Equation:
`(x-4)^2+(y-3)^2=5^2`