Question

Which of the following is the equation of a circle with center (5, - 2) and a radius of 3?

a.(x-5)^2+(y+2)^2=9

b.(x+5)^2+(y-2)^2=9

c.(x-5)^2+(y+2)^2=3

d.(x+5)^2+(y-2)^2=3

Answer 1

option a

Explanation:

we know the equation of a circle is:

(x-x1)^2 +(y-y2)^2= r^2

center= (x1,y2)

radius =r

in this case we have:

center= (5,-2)

r=3

so we have:

(x-5)^2 +(y-(-2))^2=9

finally we have:

(x-5)^2 +(y+2)^2=9