Question

#16 Write the equation of the circle Need help

Answer 1

equation of circle is given as

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

where (h,k) is center of cirlce and r is radius.

so lets figure out it from graph.

as we can see in graph center is at ( -1, 1)

radius is 4 units as shown in graph but we can calculate it. take any point on circle and calculate its distance from center. lets take point (3, 1)

now distance = √((3+1)^2+(1-1)^2)

= √16 = 4

lets put it in equation

(x +1)^2 + (y-1)^2 = 4^2