Question

Give the equation for a circle with the given center and radius. Center at (-10, -4), radius = 5

A. (x−10)2+(y−4)2=25
B. (x+10)2+(y+4)2=25
C. (x+4)2+(y+10)2=5
D. (x−4)2+(y−10)2=5

Answer 1

A circle equation is given in the form of
`(x-a)^2+(y-b)^2=r^2`, where

(a, b) is the centre of the circle
r is the radius

We have, centre of (-10, -4) and the radius = 5

Substituting these values into the circle equation

`(x-(-10))^2+(y-(-4))^2=5^2`

`(x+10)^2+(y+4)^2=25`

Correct answer: B