Question

Circle A is given by the equation (x – 4)2 + (y + 3)2 = 29. What is the center and the radius of the circle?

Answer 1

Given:

Equation of a circle is

`(x-4)^2+(y+3)^2=29`

Required:

What is the center and the radius of the circle?

Step-by-step explanation:

In a circle, if the coordinate of the center are (h, k), r is the radius, and (x, y) is any point on the circle., then the center of circle formula is given by

`(x-h)^2+(y-k)^2=r^2`

Now, we have equation

`(x-4)^2+(y+3)^2=29`
`\text{ In which center }(h,k)=(4,-3)\text{ and radius }√(29).`

Answer:

Hence, above is the center and radius of circle.