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?

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 }\sqrt{29}.$

Answer:

Hence, above is the center and radius of circle.